Ostrowski type inequalities via exponentially s-convexity on time scales

We introduce the concept of exponentially s-convexity in the second sense on a time scale interval. We prove among other things that if f : [a, b] → R is an exponentially s-convex function, then 1 b − a Z b a f(t)∆t ≤ f(a) eβ(a, x0)(b − a) 2s (h2(a, b))s + f(b) eβ(b, x0)(b − a) 2s (h2...

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Bibliographic Details
Main Authors: Svetlin G. Georgiev, Vahid Darvish, Eze R. Nwaeze
Format: Article
Language:English
Published: ATNAA 2022-10-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/2072524