Hermite-Hadamard Like Inequalities for Μ−Convex Function and Implementations

Faraz Mehmood; Muhammad Awais Shaikh; Fouzia Abid; Syeda Ismat Zehra; Memoona; Mateen Ahmed Ghaznavi; Zehra Akhter Naveed; Fahad Iqbal

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Faraz Mehmood Department of Mathematics, Dawood University of Engineering and Technology, New M. A. Jinnah Road, Karachi, Pakistan
Muhammad Awais Shaikh Department of Mathematics, Nabi Bagh College, Saddar, Karachi, Pakistan
Fouzia Abid Department of Mathematics, Dawood University of Engineering and Technology, New M. A. Jinnah Road, Karachi, Pakistan
Syeda Ismat Zehra Department of Mathematics, Dawood University of Engineering and Technology, New M. A. Jinnah Road, Karachi, Pakistan
Memoona Department of Mathematics, Dawood University of Engineering and Technology, New M. A. Jinnah Road, Karachi, Pakistan
Mateen Ahmed Ghaznavi IIEE (Institute of Industrial Electronics Engineering), University Road, Karachi, Pakistan
Zehra Akhter Naveed Department of Mathematics, Dawood University of Engineering and Technology, New M. A. Jinnah Road, Karachi, Pakistan
Fahad Iqbal Department of Computer System Engineering, Dawood University of Engineering and Technology, New M. A. Jinnah Road, Karachi, Pakistan

Keywords:

Convex Func., h-h Inequality (inequal.), Power-Mean Inequal., HO ̈Lder Inequal., Numerical Integration, Prob. Density Func. 2010 MSC. 26A51, 33B15, 26D10, 26D15, 26D20

Abstract

In the present article, we prove the Hermite-Hadamard (H-H) like inequalities for −convex (conv.) and implementations for theory of probability (prob.) & numerical integrati0n are deduced. Some consequences of several published article would be captured as especial cases. Moreover, we deduce few especial cases of −conv. function (func.).

Hermite-Hadamard Like Inequalities for Μ−Convex Function and Implementations

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