Fejér-Hermite-Hadamard inequalities for $n$-times differentiable preinvex functions

Mehmood, Sikander; Zafar, Fiza; Latif, Muhammad Amer; Yasmin, Nusrat

doi:10.32513/tmj/19322008137

Tbilisi Math. J.

2021

DOI: 10.32513/tmj/19322008137

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Fejér-Hermite-Hadamard inequalities for $n$-times differentiable preinvex functions

Sikander Mehmood¹,

Fiza Zafar²,

Muhammad Amer Latif³

et al.

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2022

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Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

Kalsoom

Khan

2022

Mathematics

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In this work, we introduce new definitions of left and right-sides generalized conformable K-fractional derivatives and integrals. We also prove new identities associated with the left and right-sides of the Hermite-Hadamard-Fejér type inequality for ϕ-preinvex functions. Moreover, we use these new identities to prove some bounds for the Hermite-Hadamard-Fejér type inequality for generalized conformable K-fractional integrals regarding ϕ-preinvex functions. Finally, we also present some applications of the generalized definitions for higher moments of continuous random variables, special means, and solutions of the homogeneous linear Cauchy-Euler and homogeneous linear K-fractional differential equations to show our new approach.

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Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

Kalsoom

Khan

2022

Mathematics

View full text Add to dashboard Cite

show abstract

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Fejér-Hermite-Hadamard inequalities for $n$-times differentiable preinvex functions

Cited by 1 publication

References 11 publications

Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

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