Mathematical Modelling, mathematical analysis, numerical methods.
Integral inequalities and the theory of convexity.
Biography
- 1977–1990 – Researcher at the Research Institute of Applied Mathematics and Mechanics of KBSU.
- 1990–1995 – Dept. Systems Engineering and Control, KBSU
- 1995–2008 – Associated Professor of the Department of ASOI, Faculty of Informatics and Control, KBSU.
- 2010–2021– Department of Mathematics and Science Education. Faculty of Education, Bursa Uludag University, Türkiye
Main publications:
Bayraktar B., Korus P. and Eduardo Napoles J. V., “NEW JENSEN-TYPE INTEGRAL INEQUALITIES VIA MODIFIED (h, m)-CONVEXITY AND THEIR APPLICATIONS”, Acta Mathematica Universitatis Comenianae, 92:3 (2023), 11-28
Bayraktar B., Napoles Valdes J. E. and Rabossi F., “Some Refinements of the Hermite – Hadamard inequality with the help of weighted integrals”, Ukrains’kyi Matematychnyi Zhurnal, 75:6 (2023), 736-752
Bayraktar B., Korus P. and Eduardo Napoles J. V., “Some New Jensen-Mercer Type Integral Inequalities via Fractional Operators”, AXIOMS, 12:6 (2023), 517
Fahad A., Butt S. I., Bayraktar B., Anwar M. and Wang Y., “Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators”, AXIOMS, 12:7 (2023), 691
Eduardo Napoles J. V. and Bayraktar B., “New extensions of Hermite-Hadamard inequality using k-fractional Caputo derivatives”, ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 16:2 (2023), 11-28
J. E. Nápoles, P. M. Guzmán, B. Bayraktar, “New integral inequalities in the class of functions $(h,m)$-convex”, Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024), 173–183
2.
J. E. Nápoles, P. M. Guzmán, B. Bayraktar, “Milne-type integral inequalities for modified $(h,m)$-convex functions on fractal sets”, Probl. Anal. Issues Anal., 13(31):2 (2024), 106–127
2023
3.
J. E. Nápoles, M. N. Quevedo Cubillos, B. Bayraktar, “Integral inequalities of Simpson type via weighted integrals”, Probl. Anal. Issues Anal., 12(30):2 (2023), 68–86
S. I. Butt, B. Bayraktar, M. Umar, “Several new integral inequalities via $k$-Riemann–Liouville fractional integrals operators”, Probl. Anal. Issues Anal., 10(28):1 (2021), 3–22
B. Bayraktar, S. I. Butt, Sh. Shaokat, J. E. Nápoles Valdés, “New Hadamard-type inequalities via $(s,m_{1},m_{2})$-convex functions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021), 597–612
B. Bayraktar, V. Ch. Kudaev, “Problem of definition of the regulating volume
of tanks and water towers of pipeline systems”, News of the Kabardin-Balkar scientific center of RAS, 2009, no. 6, 123–129
1998
13.
B. R. Bayraktarov, “The optimization of hydraulic systems with variable parameters”, Matem. Mod., 10:2 (1998), 41–47