We present fuzzy ostrowski type inequalities for (A,B,G,D)−convex functions, highlighting their implications.
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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Hassan et al. (2025) studied this question.
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