On Hermite-Hadamard type inequalities for $ n $-polynomial convex stochastic processes

On Strongly m-Convex Stochastic Processes

“…Motivated and inspired by the ongoing research in the field of integral inequalities and stochastic convexity, we introduce a new class of convex stochastic processes named as strongly m-convex stochastic processes and obtain the generalization and extension of H-H type inequality for these stochastic processes. The results presented in this paper are the generalization and extension of the work given by Ozcan [21] and Fu et al [8].…”

“…Lemma 2.9. [8] Let Ψ : S × Ω → R be a mean square differentiable stochastic process on S 0 and Ψ ′ be mean square integrable on [κ, ℓ], where κ, ℓ ∈ S, κ < ℓ.…”

Some New Versions of Hermite–Hadamard Integral Inequalities in Fuzzy Fractional Calculus for Generalized Pre-Invex Functions via Fuzzy-Interval-Valued Settings

“…Proof. Since U, H both are χ 1 -pre-invex and χ 2 -pre-invex F-IV-F then, for each ς ∈ [0, 1] we have…”

“…This disparity might be seen as a refinement of the idea of convexity. In recent years, the Hermite-Hadamard inequality (H.H inequality) for convex functions has gotten a lot of attention, and there have been some impressive improvements and generalizations, see [1,2].…”

Interval Fejér-Type Inequalities for Left and Right-λ-Preinvex Functions in Interval-Valued Settings

“…This disparity might be seen as a more sophisticated use of convexity. Recent years have seen resurgence in interest in the Hermite-Hadamard inequality for convex functions, leading to the study of several noteworthy improvements and extensions [1,2].…”