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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 1, Pages 3–22
DOI: https://doi.org/10.15393/j3.art.2021.8770 (Mi pa313) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Several new integral inequalities via $k$-Riemann–Liouville fractional integrals operators

S. I. Butta, B. Bayraktarb, M. Umara

a COMSATS University Islamabad, Lahore Campus, Defence Road Off Raiwind Rd, Lda Avenue Phase 1 Lda Avenue, Lahore, Punjab 54000, Pakistan
b Bursa ULUDAĞ UNIVERSITY, Faculty of Education, Department of Mathematics and Science Education, Görukle Campus, 16059, BURSA, TURKEY
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DOI: https://doi.org/10.15393/j3.art.2021.8770
Abstract: The main objective of this paper is to establish several new integral inequalities including $k$-Riemann–Liouville fractional integrals for convex, $s$-Godunova–Levin convex functions, quasi-convex, $\eta$-quasi-convex. In order to obtain our results, we have used classical inequalities as Hölder inequality, Power mean inequality and Weighted Hölder inequality. We also give some applications.
Keywords: $\eta$-quasi-convex, $s$-Godunova–Levin type, $k$-Riemann–Liouville fractional integral, Hölder inequality, weighted Hölder inequality, power mean inequality.
Received: 22.07.2020
Revised: 30.11.2020
Accepted: 11.12.2020
Bibliographic databases:
Document Type: Article
UDC: 517.518.86, 517.218.244, 517.927.2
MSC: 26A33, 26A51, 26D15
Language: English
Citation: 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
Citation in format AMSBIB
\Bibitem{ButBayUma21}
\by S.~I.~Butt, B.~Bayraktar, M.~Umar
\paper Several new integral inequalities via $k$-Riemann--Liouville fractional integrals operators
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 1
\pages 3--22
\mathnet{http://mi.mathnet.ru/pa313}
\crossref{https://doi.org/10.15393/j3.art.2021.8770}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000621661400001}
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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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