Ostrowski-type inequalities in abstract distance spaces

Ostrowski-type inequalities in abstract distance spaces

For non-empty sets X we define notions of distance and pseudo metric with values in a partially ordered set that has a smallest element $\theta $. If $h_X$ is a distance in $X$ (respectively, a pseudo metric in $X$), then the pair $(X,h_X)$ is called a distance (respectively, a pseudo metric) spac...

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Bibliographic Details
Main Authors: V.F. Babenko, V.V. Babenko, O.V. Kovalenko
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2024-12-01
Series:Researches in Mathematics
Subjects:
ostrowski-type inequality
distance space
pseudo metric space
lipschitz function
modulus of continuity
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/429/429
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