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.
Authors
- Asif R. Khan (ORCID: https://orcid.org/0000-0002-4700-4987)
- Ali Hassan (ORCID: https://orcid.org/0000-0003-1648-337X)
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
- 0.00