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Dive into the research topics where Muhammad Adil Khan is active.

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Featured researches published by Muhammad Adil Khan.


Open Mathematics | 2017

Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

Muhammad Adil Khan; Yu-Ming Chu; Tahir Ullah Khan; Jamroz Khan

Abstract In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.


Aequationes Mathematicae | 2018

Around Jensen’s inequality for strongly convex functions

Hamid Reza Moradi; Mohsen Erfanian Omidvar; Muhammad Adil Khan; Kazimierz Nikodem

In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen type and Jensen–Mercer type inequalities. Applications for special means are pointed out as well. We also give a Jensen’s operator inequality for strongly convex functions. As a corollary, we improve the Hölder-McCarthy inequality under suitable conditions. More precisely we show that if


Journal of Inequalities and Applications | 2017

Inequalities for α -fractional differentiable functions

Yu-Ming Chu; Muhammad Adil Khan; Tahir Ali; Sever S Dragomir


Kyungpook Mathematical Journal | 2012

Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

Muhammad Adil Khan; Sadia Khalid; Josip Pečarić

Sp\left( A \right) \subset \left( 1,\infty \right)


Journal of Function Spaces and Applications | 2018

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

Muhammad Adil Khan; Yu-Ming Chu; Artion Kashuri; Rozana Liko; Gohar Ali


Journal of Computational and Applied Mathematics | 2019

On Zipf–Mandelbrot entropy

Muhammad Adil Khan; Đilda Pečarić; Josip Pečarić

SpA⊂1,∞, then


Journal of Inequalities and Applications | 2018

Ostrowski type inequalities involving conformable fractional integrals

Muhammad Adil Khan; Sumbel Begum; Yousaf Khurshid; Yu-Ming Chu


Journal of Function Spaces and Applications | 2018

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Muhammad Adil Khan; Yousaf Khurshid; Ting-Song Du; Yu-Ming Chu

\begin{aligned} {{\left\langle Ax,x \right\rangle }^{r}}\le \left\langle {{A}^{r}}x,x \right\rangle -\frac{{{r}^{2}}-r}{2}\left( \left\langle {{A}^{2}}x,x \right\rangle -{{\left\langle Ax,x \right\rangle }^{2}} \right) ,\quad r\ge 2 \end{aligned}


Open Mathematics | 2016

Refinement of the Jensen integral inequality

Silvestru Dragomir; Muhammad Adil Khan; Addisalem Abathun


Journal of Computational and Applied Mathematics | 2019

Generalized conformable fractional operators

Tahir Ullah Khan; Muhammad Adil Khan

Ax,xr≤Arx,x-r2-r2A2x,x-Ax,x2,r≥2and if

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Tahir Ali

University of Peshawar

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Đilda Pečarić

The Catholic University of America

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Abdul Basir

University of Peshawar

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Gohar Ali

Islamia College University

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Naveed Latif

Government College University

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