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Problemy Analiza — Issues of Analysis, 2023, Volume 12(30), Issue 2, Pages 68–86
DOI: https://doi.org/10.15393/j3.art.2023.13310 (Mi pa376) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integral inequalities of Simpson type via weighted integrals

J. E. Nápolesab, M. N. Quevedo Cubillosc, B. Bayraktard

a UTN-FRRE, French 414, Resistencia, Chaco 3500, Argentina
b UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina
c Universidad Militar Nueva Granada, Bógota D.C., Colombia
d Bursa Uludag University, Faculty of Education, Gorukle Campus, 16059, Bursa, Turkey
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DOI: https://doi.org/10.15393/j3.art.2023.13310
Abstract: In this work, we use weighted integrals to obtain new integral inequalities of the Simpson type for the class of $(h, m, s)$-convex functions of the second type. In the work we show that the obtained results include some known from the literature, as particular cases.
Keywords: convex fuction, inequality of Simpson, weighted integral operator, $(h, m, s)$-convex function, Hadamard-type inequality, Hölder inequality, power mean inequality.
Received: 29.01.2023
Revised: 20.04.2023
Accepted: 19.04.2023
Document Type: Article
UDC: 517.518.862, 517.218.244
MSC: 26D10, 26A51,26A33
Language: Russian
Citation: 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
Citation in format AMSBIB
\Bibitem{NapQueBay23}
\by J.~E.~N\'apoles, M.~N.~Quevedo Cubillos, B.~Bayraktar
\paper Integral inequalities of Simpson type via weighted integrals
\jour Probl. Anal. Issues Anal.
\yr 2023
\vol 12(30)
\issue 2
\pages 68--86
\mathnet{http://mi.mathnet.ru/pa376}
\crossref{https://doi.org/10.15393/j3.art.2023.13310}
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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