| Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2022 |
| 1. |
N. A. Ilyasov, “Order equalities in the spaces $L_p(\mathbb T), 1$ < $p$ < $\infty$, for best approximations and moduli of smoothness of derivatives of periodic functions with monotone Fourier coefficients”, Trudy Inst. Mat. i Mekh. UrO RAN, 28, no. 4, 2022, 103–120     |
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| 2020 |
| 2. |
N. A. Ilyasov, “Some supplements to S. B. Stechkin's inequalities in direct and inverse theorems on the approximation of continuous periodic functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 26, no. 4, 2020, 155–181  |
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| 2019 |
| 3. |
N. A. Ilyasov, “Multivariate version of Turan's type inequality and its applications to the estimation of uniform moduli of smoothness of periodic functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 2, 2019, 102–115 |
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| 2018 |
| 4. |
N. A. Il'yasov, “On the equivalence of some inequalities in the theory of approximation of periodic functions in the spaces $L_p(\mathbb T),1 < p < \infty$”, Trudy Inst. Mat. i Mekh. UrO RAN, 24, no. 2, 2018, 93–106 |
| 5. |
N. A. Il'yasov, “On the equivalence of some relations in different metrics between norms, best approximations, and moduli of smoothness of periodic functions and their derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 24, no. 4, 2018, 176–188 |
| 6. |
Niyazi A. Il'yasov, “Order equalities in different metrics for moduli of smoothness of various orders”, Ural Math. J., 4:2 (2018), 24–32  |
| 7. |
N. A. Il'yasov, “The direct theorem of the theory of approximation of periodic functions with monotone Fourier coefficients in different metrics”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 100–114 |
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| 2017 |
| 8. |
N. A. Il'yasov, “On the order of decrease of uniform moduli of smoothness for the classes of periodic functions $H_{p}^{l}[\omega],\ l\in \mathbb N,\ 1\le p < \infty$”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 4, 2017, 162–175 |
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| 2016 |
| 9. |
N. A. Il'yasov, “The inverse theorem in various metrics of approximation theory for periodic functions with monotone Fourier coefficients”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 153–162 |
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| 2015 |
| 10. |
N. A. Il'yasov, “On the order of the uniform convergence of partial cubic sums of multiple trigonometric Fourier series on the function classes $H_{1,m}^{l}[\omega]$”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 161–177 |
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| 2010 |
| 11. |
N. A. Il'yasov, “A rate $L_p$-version for the Riesz criterion of the absolute convergence of trigonometric Fourier series”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 193–202 |
| 12. |
Niyazi A. Ilyasov, “Estimations of the smoothness modules of derivatives of convolution of two periodic functions by means of their best approximations in Lp(\bbfT)”, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci., 30:1 (2010), 89-104 http://imm.az/journals/AMEA_xeberleri/cild30_N1_2010/meqaleler/89-104.pdf  |
| 13. |
Niyazi A. Ilyasov, “Estimations of the smoothness modules of convolution of two periodic functions by means of their best approximations in Lp(\bbfT) (the case of different metrics)”, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci., 30:4 (2010), 75-88 http://imm.az/journals/AMEA_xeberleri/cild30_N4_2010/meqaleler/75-88.pdf |
| 14. |
N. A. Ilyasov, “K neravenstvu raznykh metrik dlya proizvodnykh trigonometricheskikh polinomov v $L_p(T)$”, Tezisy dokaladov Mezhdunarodnoi konferentsii “Teoriya priblizhenii”, posvyaschennaya 90-letiyu so dnya rozhdeniya prof. S.B.Stechkina (Moskva, MIAN, Rossiya, 23.08-26.08.2010 g.), izd-vo Matem. in-ta RAN, 2010, 36-37 |
| 15. |
N. A. Ilyasov, “O poryadke ubyvaniya $L_p$-modulei gladkosti i nailuchshikh $L_p$-priblizhenii na klassakh funktsii $S_p^{(l)}[\lambda]$, $1\<p\le q<\infty$”, Tezisy dokladov Mezhdunarodnoi konferentsii “Teoriya priblizhenii” (Mezhdunarodnyi Matematicheskii institut im. Eilera, Sankt-Peterburg, Rossiya, 06.05-08.05.2010 g.), VVM, SPb, 2010, 38-41 |
| 16. |
N. A. Ilyasov, “Skorostnaya $L_p$-versiya neravenstva Besselya–Khausdorfa–Yunga po trigonometricheskoi sisteme”, Sovremennye problemy teorii funktsii i ikh prilozheniya (Materialy 15-i Saratovskoi zimnei shkoly) (Saratov, Rossiya, 27.01-03.02 , 2010 g.), SGU, 2010, 79 |
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| 2009 |
| 17. |
N. A. Ilyasov, “Skorostnaya $L_p$-versiya neravenstva Besselya po trigonometricheskoi sisteme”, Tezisy dokladov Mezhdunarodnoi konferentsii po matematike i mekhanike, posvyaschennoi 50-letiyu Instituta Matematiki i Mekhaniki NAN Azerbaidzhana (Baku, Azerbaidzhan, 06.05-08.05, 2009 g), Baku, 2009, 149 |
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| 2008 |
| 18. |
N. A. Ilyasov, “Kriterii P.L.Ulyanova i poryadok ravnomernoi skhodimosti ryadov Fure”, Sovremennye problemy teorii funtsii i ikh prilozheniya. Tezisy dokladov 14-i Saratovskoi zimnei shkoly, posvyaschennoi pamyati akademika P.L.Ulyanova (Saratov, Rossiya, 28.01-04.02.2008 g.), SGU, Saratov, 2008, 77-78 |
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| 2007 |
| 19. |
Niyazi A. Il'yasov, “Marchaud’s type inequalities for convolution of two periodical functions in Lp(T), I”, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci., XXVII:4 (2007), 47-66 http://imm.az/journals/AMEA_xeberleri/cild27_N4_2007/meqaleler/47-66.pdf |
| 20. |
N. A. Ilyasov, “Neravenstvo Yunga v modulyakh gladkosti (sluchai periodicheskikh funktsii mnogikh peremennykh)”, Tezisy dokladov XII Mezhdunarodnoi konferentsii po matematike i mekhanike, posvyaschennoi 70-letiyu akademika NAN Azerbaidzhana, prof. A.D. Gadzhieva (Baku, Azerbaidzhan, 21.11-23.11.2007 g.), 2007, 74 |
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| 2006 |
| 21. |
N. A. Il'yasov, “Structural properties of periodic functions with absolutely converging Fourier series”, Russian Math. (Iz. VUZ), 50:1 (2006), 23–31 |
| 22. |
N. A. Ilyasov, “Pryamaya i obratnaya teoremy v teorii absolyutno skhodyaschikhsya ryadov Fure nepreryvnykh periodicheskikh funktsii”, Izvestiya Uralskogo gosudarstvennogo universiteta. Matematika i Mekhanika. Kompyuternye nauki, 44 (2006), 89-112 http://hdl.handle.net/10995/24604 |
| 23. |
N. A. Ilyasov, “O "pravilnykh otsenkakh v neravenstvakh tipa Marsho”, Sovremennye problemy teorii funtsii i ikh prilozheniya. Tezisy dokladov 13-i Saratovskoi zimnei shkoly (Saratov, Rossiya, 27.01-03.02, 2006 g.), Nauchnaya kniga, Saratov, 2006, 76-77 |
| 24. |
N. A. Ilyasov, “Two extremal problems and their applications”, Abstracts of International Scientific Conference "Mathematical analysis, differential equations and their applications (Uzhgorod, Ukraine, September 18-23, 2006), IMM NAS Ukraine, Kiev, 2006, 152-153 |
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| 2005 |
| 25. |
N. A. Il'yasov, “On the Order of Decrease of Uniform Moduli of Smoothness for the Classes of Functions $E_{p,m}[\epsilon]$”, Math. Notes, 78:4 (2005), 481–497 |
| 26. |
Niyazi A. Il'yasov, “Estimations of the best approximation of convolution of functions by means of their smoothness modules in Lp (T)”, Niyazi A. Il'yasov, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci., XXV:4 (2005), 39-48 http://imm.az/journals/AMEA_xeberleri/cild25_N4_2005/meqaleler/39-48.pdf |
| 27. |
Niyazi A. Il'yasov, “Estimations of the smoothness modules of convolution of functions by means of their best approximations in Lp (T)”, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci., XXV:7 (2005), 15-30 http://imm.az/journals/AMEA_xeberleri/cild25_N7_2005/meqaleler/15-30.pdf |
| 28. |
N. A. Ilyasov, “A rate version of M. Riesz criterion on absolute convergence of trigonometric Fourier series”, Tezisy dokladov Mezhdunarodnoi konferentsii “Funktsionalnye prostranstva, teoriya priblizhenii, nelineinyi analiz”, posvyaschennoi 100-letiyu akademika S.M. Nikolskogo (Moskva, 23.05–29.05, 2005 g.), izd-vo Matem. in-ta RAN, 2005, 295 |
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| 2004 |
| 29. |
Niyazi A. Il'yasov, “To the M. Riesz theorem on absolute convergence of the trigonometric Fourier series”, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci, XXIV:1 (2004), 113-120 http://imm.az/journals/AMEA_xeberleri/cild24_N1_2004/meqaleler/113-120.pdf |
| 30. |
Niyazi A. Il'yasov, “To the M. Riesz theorem on absolute convergence of the trigonometric Fourier series (the second report)”, Trans. NAS Azerbaijan. Ser. Phys.-Tech. and Math. Sci., XXIV:4 (2004), 135-142 http://imm.az/journals/AMEA_xeberleri/cild24_N4_2004/meqaleler/135-142.pdf |
| 31. |
N. A. Ilyasov, “Vokrug kriteriya M.Rissa absolyutnoi skhodimosti trigonometricheskikh ryadov Fure”, Sovremennye problemy teorii funtsii i ikh prilozheniya. Tezisy dokladov 12-i Saratovskoi zimnei shkoly (Saratov, Rossiya, 27.01-03.02, 2004 g.), Izd-vo Gos. UNS “Kolledzh”, Saratov, 2004, 91-92 |
| 32. |
Niyazi A. Ilyasov, “The direct and inverse theorems of approximation theory for the convolution in $L_p(T)$ spaces”, Abstracts of talks of the “International workshop on analysis and its applications” (Mersin, Turkey, September 07-01.09.2004), Mersin University, 2004, 32 |
| 33. |
N. A. Ilyasov, “K voprosu o predstavlenii prostranstva $A(T)$ posredstvom klassov $L_p(T)*L_q(T)$, $1\le p,q\le\infty$”, Tezisy dokladov Mezhdunarodnoi konferentsii po matematike i mekhanike, posvyaschennoi 45-letiyu IMM NAN Azerbaidzhana (Baku, 05.05–07.05 , 2004 g.), IMM NAN Azerbaidzhana, Baku, 2004, 80 |
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| 2003 |
| 34. |
N. A. Ilyasov, “O poryadke priblizheniya periodicheskikh funktsii v obobschennykh gëlderovykh prostranstvakh”, Tezisy dokladov III Mezhdunarodnoi konferentsii “Analiticheskii metody analiza i differentsialnykh uravnenii” (Minsk, 04.09-09.09, 2003 g.), IM NAN Belarusi, Minsk, 2003, 80 |
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| 2002 |
| 35. |
N. A. Ilyasov, “On the order of magnitude of the uniform convergence of multiple trigonometric Fourier series with respect to cubes on the function classes $H^l_{p,m}[\omega]$”, Analysis Mathematica, 28:1 (2002), 25-42
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| 36. |
N. A. Ilyasov, “O pryamoi i obratnoi teoremakh v teorii absolyutno skhodyaschikhsya ryadov Fure”, Tezisy dokladov II Mezhdunarodnogo simpoziuma "Ryady Fure i ikh prilozheniya (Novorossiisk, Rossiya, 27.05-02.06, 2002 g.), Novorossiisk, 2002, 27-28 |
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| 2001 |
| 37. |
N. A. Il'yasov, “On the Order of Approximation in the Uniform Metric by the Fejér–Zygmund Means on the Classes $E_p[\varepsilon]$”, Math. Notes, 69:5 (2001), 625–633 |
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| 2000 |
| 38. |
Il'yasov N.A., “On approximation of multivariable periodic functions in the $H^l_{p,m}[\omega]$ spaces”, Trans. Nat. Acad. Sci. Azerb., Ser. Phys.-Techn. and Math. Sci., XX:4 (2000), 91-96 |
| 39. |
N. A. Ilyasov, “Obobschenie odnogo rezultata Lorentsa o koeffitsientakh Fure periodicheskikh funktsii”, Vestnik Bakinskogo universiteta, Ser. fiz-matem. nauk, 2000, no. 4, 122-128 |
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| 1998 |
| 40. |
N. A. Ilyasov, “O poryadke absolyutnoi skhodimosti ryadov Fure periodicheskikh funktsii iz klassov $H^l_p[\omega]$”, Vestnik Bakinskogo universiteta, Ser. fiz-matem. nauk, 1998, no. 1, 143-154 |
| 41. |
N. A. Ilyasov, “O poryadke ravnomernoi skhodimosti ryadov Fure periodicheskikh funktsii iz klassov $H^l_p[\omega]$”, Vestnik Bakinskogo universiteta, Ser. fiz-matem. nauk, 1998, no. 2, 158-170 |
| 42. |
N. A. Ilyasov, “O poryadke absolyutnoi i ravnomernoi skhodimosti ryadov Fure periodicheskikh funktsii iz klassov $H^l_p[\omega]$”, Teoriya priblizhenii i garmonicheskii analiz. Tezisy dokladov mezhdunarodnoi konferentsii (Tula, Rossiya, 26.05-29.05. 1998 g.), Izd-vo Tulskogo gos. un-ta, Tula, 1998, 120-121 |
| 43. |
N. A. Ilyasov, “O poryadke absolyutnoi skhodimosti ryadov Fure na nekotorykh klassakh periodicheskikh funktsii v $L_p$”, Materialy nauchnoi konferentsii, posvyaschennoi 80-letiyu Azerbaidzhanskoi gosudarstvennosti (Baku, Azerbaidzhan, 25.05-26.05.1998 g.), Izd-vo BGU, Baku, 1998, 39-40 |
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| 1997 |
| 44. |
N. A. Il'yasov, “On the Direct Theorem of Approximation Theory of Periodic Functions in Different Metrics”, Proc. Steklov Inst. Math., 219 (1997), 215–230 |
| 45. |
N. A. Ilyasov, “K neravenstvu Dzheksona-Stechkina v prostranstvakh $L^p(T^n)$, $1<p<\infty$”, Trudy IMM AN Azerb. respubliki, 6(14) (1997), 66-73 |
| 46. |
N. A. Ilyasov, “O poryadke ravnomernoi skhodimosti ryadov Fure periodicheskikh funktsii iz klassov $H^l_p(\omega)$”, Sovremennye problemy teorii funktsii (Tezisy 9-i Saratovskoi zimnei shkoly) (Saratov, Rosiya, 26.01-01.02 1998 g.), Izd-vo SGU, Saratov, 1997, 71 |
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| 1996 |
| 47. |
N. A. Ilyasov, “Priblizhenie srednimi Feiera-Zigmunda na nekotorykh klassakh periodicheskikh funktsii v $L^p$”, Trudy. Azerb. matem. obschestva, 2 (1996), 91-110 |
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| 1992 |
| 48. |
N. A. Il'yasov, “An inverse theorem of approximation theory of periodic functions in various metrics”, Math. Notes, 52:2 (1992), 791–798 |
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| 1991 |
| 49. |
N. A. Il'yasov, “An inverse approximation theorem in various metrics”, Math. Notes, 50:6 (1991), 1253–1260 |
| 50. |
N. A. Il'yasov, “Inequality between moduli of smoothness of different orders in different metrics”, Math. Notes, 50:2 (1991), 877–879 |
| 51. |
N. A. Ilyasov, “K neravenstvam mezhdu nailuchshimi priblizheniyami i modulyami gladkosti raznykh poryadkov periodicheskikh funktsii v $L_p$, $1\le p\le \infty$”, Singulyarnye integralnye operatory, Izd-vo Bakinskogo universiteta, Baku, 1991, 40-52 |
| 52. |
N. A. Ilyasov, “Ob usloviyakh vlozheniya klassov $S^l_p[\lambda]$ v $W^rH^k_q[\varphi]$”, Singulyarnye integralnye operatory, Izd-vo Bakinskogo universiteta, Baku, 1991, 98-108 |
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| 1990 |
| 53. |
N. A. Il'yasov, “Approximation of periodic functions by Fejer–Zygmund means in various metrics”, Math. Notes, 48:4 (1990), 1004–1010 |
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| 1989 |
| 54. |
N. A. Ilyasov, “O poryadkakh $L_p$-modulei gladkosti funktsii na m-mernom tore”, Singulyarnye i integralnye operatory, Izd-vo Azgosuniversiteta, 1989, 43-58 |
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| 1987 |
| 55. |
N. A. Ilyasov, Teoremy vlozheniya dlya strukturnykh i konstruktivnykh kharakteristik funktsii, Diss. … kand. fiz.-matem. nauk, Azerb. un-t, Baku, 1987 , 150 pp. https://search.rsl.ru/ru/record/01008515567 |
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| 1988 |
| 56. |
N. A. Ilyasov, “On embedding theorems for generalized Nikol'skii–Besov spaces in $L_p$”, Dokl. Math., 36:3 (1988), 528–531 |
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| 1986 |
| 57. |
N. A. Il'yasov, “Approximation of periodic functions by Zygmund means”, Math. Notes, 39:3 (1986), 200–209 |
| 58. |
N. A. Ilyasov, “On imbedding theorems of generalized Hölder spaces in $L_p$”, Dokl. Akad. Nauk SSSR, 289:5 (1986), 1053–1055 |
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| 1984 |
| 59. |
N. A. Ilyasov, “Imbedding theorems for some classes of periodic functions in $L_p,$ $1\le p\le\infty$”, Dokl. Akad. Nauk SSSR, 276:6 (1984), 1301–1304 |
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| 1980 |
| 60. |
E. G. Guseinov, N. A. Ilyasov, “Sravnenie differentsialno-gladkostnogo i gladkostnogo sposobov opisaniya svoistv nepreryvnykh funktsii”, Sovremennye problemy teorii funktsii (Materialy Vsesoyuznoi shkoly po teorii funktsii) (Baku, 21.05-01.06.1977 g.), Baku, Azerb. un-t, 1980, 118-123 |
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| 1979 |
| 61. |
N. A. Ilyasov, “O funktsiyakh, udovletvoryayuschikh usloviyu Gëldera”, Nauchnye trudy. Azerb. universitet. Ser. fiz.-mat. nauk, 1979, no. 4, 39-42 |
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| 1977 |
| 62. |
E. G. Guseinov, N. A. Il'yasov, “Differential and smoothness properties of continuous functions”, Math. Notes, 22:6 (1977), 931–936 |
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