Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk. (8th February 2021)

• Record Type: Journal Article
• Authors: Rostamian Delavar, M.; Dragomir, S. S.; De La Sen, M.
• Other Names: Beg Ismat Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-02-08
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6615626
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Some sharp trapezoid and midpoint type inequalities for Lipschitzian bifunctions defined on a closed disk in Euclidean sense are obtained by the use of polar coordinates. Also, bifunctions whose partial derivative is Lipschitzian are considered. A new presentation of Hermite-Hadamard inequality for convex function defined on a closed disk and its reverse are given. Furthermore, two mappings H t and h t are considered to give some generalized Hermite-Hadamard type inequalities in the case that considered functions are Lipschitzian in Euclidean sense on a disk.