On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions
Muhammad Aamir Ali *
Department of Mathematics, Government College University, Faisalabd, Sahiwal Campus, Pakistan.
Mujahid Abbas
Department of Mathematics, Government College University, Lahore 54000, Pakistan and Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa.
Zhiyue Zhang
School of Mathematical Sciences, Nanjing Normal University, 210023, China.
Ifra Bashir Sial
Department of Mathematics, Government College University, Faisalabd, Sahiwal Campus, Pakistan.
Ruqia Arif
Department of Mathematics, Government College University, Faisalabd, Sahiwal Campus, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions. We also derived integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively convex and convex functions in multiplicative calculus.
Keywords: Convex sets, convex functions, multiplicative integrals and Hermite Hadamard inequalities.