Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk

Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk

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...

Full description

Bibliographic Details
Main Authors: M. Rostamian Delavar, S. S. Dragomir, M. De La Sen
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6615626
id doaj-13cc7c61072b41d4945bf4c8cf3075dc
record_format Article
spelling doaj-13cc7c61072b41d4945bf4c8cf3075dc2021-02-22T00:01:51ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/6615626Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a DiskM. Rostamian Delavar0S. S. Dragomir1M. De La Sen2Department of MathematicsMathematicsInstitute of Research and Development of ProcessesSome 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 Ht and ht are considered to give some generalized Hermite-Hadamard type inequalities in the case that considered functions are Lipschitzian in Euclidean sense on a disk.http://dx.doi.org/10.1155/2021/6615626
collection DOAJ
language English
format Article
sources DOAJ
author M. Rostamian Delavar
S. S. Dragomir
M. De La Sen
spellingShingle M. Rostamian Delavar
S. S. Dragomir
M. De La Sen
Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
Journal of Function Spaces
author_facet M. Rostamian Delavar
S. S. Dragomir
M. De La Sen
author_sort M. Rostamian Delavar
title Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
title_short Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
title_full Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
title_fullStr Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
title_full_unstemmed Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
title_sort sharp estimation type inequalities for lipschitzian mappings in euclidean sense on a disk
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description 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 Ht and ht are considered to give some generalized Hermite-Hadamard type inequalities in the case that considered functions are Lipschitzian in Euclidean sense on a disk.
url http://dx.doi.org/10.1155/2021/6615626
work_keys_str_mv AT mrostamiandelavar sharpestimationtypeinequalitiesforlipschitzianmappingsineuclideansenseonadisk
AT ssdragomir sharpestimationtypeinequalitiesforlipschitzianmappingsineuclideansenseonadisk
AT mdelasen sharpestimationtypeinequalitiesforlipschitzianmappingsineuclideansenseonadisk
_version_ 1714852890393182208

Similar Items