Muhammad Adil Khan
University of Peshawar
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Featured researches published by Muhammad Adil Khan.
Open Mathematics | 2017
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
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
Yu-Ming Chu; Muhammad Adil Khan; Tahir Ali; Sever S Dragomir
Kyungpook Mathematical Journal | 2012
Muhammad Adil Khan; Sadia Khalid; Josip Pečarić
Sp\left( A \right) \subset \left( 1,\infty \right)
Journal of Function Spaces and Applications | 2018
Muhammad Adil Khan; Yu-Ming Chu; Artion Kashuri; Rozana Liko; Gohar Ali
Journal of Computational and Applied Mathematics | 2019
Muhammad Adil Khan; Đilda Pečarić; Josip Pečarić
SpA⊂1,∞, then
Journal of Inequalities and Applications | 2018
Muhammad Adil Khan; Sumbel Begum; Yousaf Khurshid; Yu-Ming Chu
Journal of Function Spaces and Applications | 2018
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
Silvestru Dragomir; Muhammad Adil Khan; Addisalem Abathun
Journal of Computational and Applied Mathematics | 2019
Tahir Ullah Khan; Muhammad Adil Khan
Ax,xr≤Arx,x-r2-r2A2x,x-Ax,x2,r≥2and if