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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 2, Pages 3–23
DOI: https://doi.org/10.15393/j3.art.2022.11190 (Mi pa348) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On generalizations of integral inequalities

B. Bayraktara, J. E. Nápolesbc, F. Rabossic

a Bursa Uludag University, Faculty of Education, Gorukle Campus, 16059, Bursa, Turkey
b UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina
c UTN-FRRE, French 414, Resistencia, Chaco 3500, Argentina
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DOI: https://doi.org/10.15393/j3.art.2022.11190
Abstract: In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.
Keywords: convex function, Hermite–Hadamard inequality, Simpson-type inequality, Lipschitz conditions, Lagrange theorem, Riemann–Liouville fractional integral.
Received: 09.12.2021
Revised: 23.05.2022
Accepted: 27.05.2022
Bibliographic databases:
Document Type: Article
UDC: 517.518.86, 517.218.244, 517.927.2
MSC: 26D15, 41A55
Language: English
Citation: B. Bayraktar, J. E. Nápoles, F. Rabossi, “On generalizations of integral inequalities”, Probl. Anal. Issues Anal., 11(29):2 (2022), 3–23
Citation in format AMSBIB
\Bibitem{BayNapRab22}
\by B.~Bayraktar, J.~E.~N\'apoles, F.~Rabossi
\paper On generalizations of integral inequalities
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 2
\pages 3--23
\mathnet{http://mi.mathnet.ru/pa348}
\crossref{https://doi.org/10.15393/j3.art.2022.11190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4459163}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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