Some new estimates on coordinates of left and right convex interval-valued functions based on pseudo order relation
Date
2022
Authors
Khan, Muhammad Bilal
Srivastava, H.M.
Mohammed, Pshtiwan Othman
Nonlaopon, Kamsing
Hamed, Yasser S.
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
The relevance of convex and non-convex functions in optimization research is well known.
Due to the behavior of its definition, the idea of convexity also plays a major role in the subject
of inequalities. The main concern of this paper is to establish new integral inequalities for newly
defined left and right convex interval-valued function on coordinates through pseudo order relation
and double integral. Some of the Hermite–Hadamard type inequalities for the product of two left
and right convex interval-valued functions on coordinates are also obtained. Moreover, Hermite–
Hadamard–Fejér type inequalities are also derived for left and right convex interval-valued functions
on coordinates. Some useful examples are also presented to prove the validity of this study. The
proved results of this paper are generalizations of many known results, which are proved by Dragomir,
Latif et al. and Zhao, and can be vied as applications of this study.
Description
Keywords
double integral, left and right convex interval-valued function on coordinates, Hermite-Hadamard inequality, Hermite-Hadamard-Fejér inequality
Citation
Khan, M., Srivastava, H., Mohammed, P., Nonlaopon, K., & Hamed, Y. (2022). “Some new estimates on coordinates of left and right convex interval-valued functions based on pseudo order relation.” Symmetry, 14(3), 473. https://doi.org/10.3390/sym14030473