Hadamard-Type k -Fractional Integral Inequalities for Exponentially α,h-m -Convex Functions

Chahn Yong Jung; Ghulam Farid; Sidra Bibi; Kottakkaran Sooppy Nisar; Shin Min Kang

doi:10.1155/2020/6815056

Hadamard-Type k -Fractional Integral Inequalities for Exponentially α,h-m -Convex Functions

Chahn Yong Jung
, Ghulam Farid
, Sidra Bibi
, Kottakkaran Sooppy Nisar
, Shin Min Kang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The class of exponentially α,h-m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann-Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presented in the form of corollaries. Moreover, some known results are identified in the form of remarks.

Original language	English
Article number	6815056
Journal	Journal of Mathematics
Volume	2020
DOIs	https://doi.org/10.1155/2020/6815056
State	Published - 2020

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title = "Hadamard-Type k -Fractional Integral Inequalities for Exponentially α,h-m -Convex Functions",

abstract = "The class of exponentially α,h-m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann-Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presented in the form of corollaries. Moreover, some known results are identified in the form of remarks.",

author = "Jung, \{Chahn Yong\} and Ghulam Farid and Sidra Bibi and Nisar, \{Kottakkaran Sooppy\} and Kang, \{Shin Min\}",

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AU - Jung, Chahn Yong

AU - Farid, Ghulam

AU - Bibi, Sidra

AU - Nisar, Kottakkaran Sooppy

AU - Kang, Shin Min

PY - 2020

Y1 - 2020

N2 - The class of exponentially α,h-m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann-Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presented in the form of corollaries. Moreover, some known results are identified in the form of remarks.

AB - The class of exponentially α,h-m-convex functions has been discovered to unify different kinds of convexities. This paper finds new Riemann-Liouville fractional Hadamard-type inequalities for this generalized class of convex functions. These results further have their consequences which are presented in the form of corollaries. Moreover, some known results are identified in the form of remarks.

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DO - 10.1155/2020/6815056

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VL - 2020

JO - Journal of Mathematics

JF - Journal of Mathematics

M1 - 6815056

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Hadamard-Type k -Fractional Integral Inequalities for Exponentially α,h-m -Convex Functions

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