Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences

Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions. The resulting bounds provide compact formulas for the bounds of associated f...

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Bibliographic Details
Main Authors: Yi Hu, Ghulam Farid, Zijiang, Kahkashan Mahreen
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/3530591
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Summary:Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions. The resulting bounds provide compact formulas for the bounds of associated fractional and conformable integral operators. Several Hadamard-type inequalities have been produced from a compact version for unified integral operators for exponentially s,m-convex functions.
ISSN:2314-8896
2314-8888