In this study, firstly, Hermite-Hadamard type inequalities are examined for functions whose first derivative is $s$-convex in the fourth sense. addition, second Finally, some application examples including special tools and digamma presented.

In this paper, we establish some new quantum Hermite-Hadamard type inequalities for differentiable convex functions by using the q?2-quantum integral. The results presented in paper extend of Bermudo et al. (On q-Hermite-Hadamard general functions, Acta Mathematica Hungarica, 2020, 162, 363-374). Finally, give examples to show validation paper.

In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, study related generalized Hermite–Hadamard-type inequality using (E,h)-convexity and obtain identities pertaining to these operators, respective first- second-order derivatives are given. terms of applications, provide some trapezoid-type inequalities for (...

In this paper, we define and explore the new family of exponentially convex functions which are called s–convex functions. We attain amazing examples algebraic properties newly introduced function. addition, find a novel version Hermite-Hadamard type inequality in support concept via frame classical fractional calculus (non-conformable Riemann-Liouville integrals operator). Furthermore, investi...

Hermite–Hadamard inequalities and their refinements have been investigated for a long period of time. In this paper, we obtained the inequality tensorial type convex functions self-adjoint operators in Hilbert spaces. The generalize previously by Dragomir. We also provide useful Lemmas which enabled us to obtain results. examples specific given example consequences section. Symmetry upper lower...

For s-convex functions, the Hermite–Hadamard inequality is already well-known in convex analysis. In this regard, work presents new inequalities associated with left-hand side of for s-convexity by utilizing a novel technique based on Green’s function. Also, Hölder, Young, and power-mean are used to obtain these inequalities. Finally, some applications special means real numbers provided. concl...