BF-Ostrowski Type Inequalities for (A, B, G, D)-convex

In this paper, we present the very first time the generalized notion of (A,B, G,D)−convex (concave) function in mixed kind, which is the generalization of functions given in [15], [2], [4], [14], [16] and [3]. We would like to state well-nown Ostrowski inequality via Fuzzy Riemann Integrals for (A,B, G,D)− convex (concave) function in mixed kind. Moreover we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are (A,B,G,D)-convex (concave) functions in mixed kind by using different techniques including H¨older’s inequality [27] and power mean inequality [26]. Also, various established results would be captured as special cases with respect to convexity of function.

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Publication Details

Journal
Facta Universitatis Series Mathematics and Informatics
Published
2025-08-03
DOI
https://doi.org/10.22190/fumi210826035h
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

BF-Ostrowski Type Inequalities for (A, B, G, D)-convex

Asif R. Khan, Ali Hassan
Facta Universitatis Series Mathematics and Informatics
Mathematical Inequalities and Applications
article

BF-Ostrowski Type Inequalities for (A, B, G, D)-convex

Asif R. Khan, Ali Hassan
article en

Abstract

In this paper, we present the very first time the generalized notion of (A,B, G,D)−convex (concave) function in mixed kind, which is the generalization of functions given in [15], [2], [4], [14], [16] and [3]. We would like to state well-nown Ostrowski inequality via Fuzzy Riemann Integrals for (A,B, G,D)− convex (concave) function in mixed kind. Moreover we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are (A,B,G,D)-convex (concave) functions in mixed kind by using different techniques including H¨older’s inequality [27] and power mean inequality [26]. Also, various established results would be captured as special cases with respect to convexity of function.

Facta Universitatis Series Mathematics and InformaticsVol. 40(3)
Openalex Percentile: Top 69%
Mathematical Inequalities and Applications
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