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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2022, Volume 60, Pages 3–15
DOI: https://doi.org/10.35634/2226-3594-2022-60-01 (Mi iimi432) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

New generalized integral inequalities via $(h,m)$-convex modified functions

B. Bayraktara, J. E. Nápoles Valdésbc

a Bursa Uludağ University, Görükle Campus, 16059, Bursa, Turkey
b Universidad Nacional del Nordeste, Ave. Libertad, 5450, Corrientes, 3400, Argentina
c Universidad Tecnológica Nacional, St. French, 414, Resistencia, Chaco, 3500, Argentina
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DOI: https://doi.org/10.35634/2226-3594-2022-60-01
Abstract: In this article, we establish several inequalities for $(h,m)$-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.
Keywords: Hermite–Hadamard inequality, Hölder inequality, power mean inequality, weighted integrals, $(m,h)$-convex functions.
Received: 06.04.2022
Accepted: 29.09.2022
Bibliographic databases:
Document Type: Article
UDC: 517.518, 517.218, 517.927
MSC: 26A51, 26D10, 26D15
Language: Russian
Citation: B. Bayraktar, J. E. Nápoles Valdés, “New generalized integral inequalities via $(h,m)$-convex modified functions”, Izv. IMI UdGU, 60 (2022), 3–15
Citation in format AMSBIB
\Bibitem{BayNap22}
\by B.~Bayraktar, J.~E.~N\'apoles Vald\'es
\paper New generalized integral inequalities via $(h,m)$-convex modified functions
\jour Izv. IMI UdGU
\yr 2022
\vol 60
\pages 3--15
\mathnet{http://mi.mathnet.ru/iimi432}
\crossref{https://doi.org/10.35634/2226-3594-2022-60-01}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4521458}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
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