Derivation of bounds of integral operators via convex functions

Convex functions play a vital role in the derivation of inequalities. In this paper these functions are used to obtain certain bounds of a unified integral operator. A Hadamard inequality for these operators is established. Further bounds of several kinds of fractional and conformable integral opera...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 5; pp. 4781 - 4792
Main Authors You, Xinghua, Farid, Ghulam, Narayan Mishra, Lakshmi, Mahreen, Kahkashan, Ullah, Saleem
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
bounds
convex functions
fractional integrals
integral operators
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Summary:Convex functions play a vital role in the derivation of inequalities. In this paper these functions are used to obtain certain bounds of a unified integral operator. A Hadamard inequality for these operators is established. Further bounds of several kinds of fractional and conformable integral operators are deduced in particular.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020306