In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable whose derivatives in absolute value generally convex. Our main results established using classical Jensen–Mercer its (h,m)-convex modified paper. addition to showing that our support previously known from litera...

The fuzzy-number valued up and down λ-convex mapping is originally proposed as an intriguing generalization of the convex mappings. newly suggested mappings are then used to create certain Hermite–Hadamard- Pachpatte-type integral fuzzy inclusion relations in fractional calculus. It also revise Hermite–Hadamard inclusions with regard (U∙D F-N∙V∙Ms). Moreover, Hermite–Hadamard–Fejér has been pro...

For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in literature. In this regard, paper presents inequalities for operators by using a novel method based on Green’s function. Additionally, applying these identities to convex and monotone functions, new type are established. Furthermore, different form of also obtained approach. conclusio...

It is the purpose of this paper to propose a novel class convex functions associated with strong ?-convexity. A relationship between newly defined function and an earlier generalized hereby established. To point out importance new functions, some examples are presented. Additionally, famous Hermite–Hadamard inequality derived for family functions. Furthermore, inequalities results ?-convex also...

In this paper, we generalize and refine some Berezin number inequalities for Hilbert space operators. Namely, the Hermite-Hadamard inequality other recent results by using concept of superquadraticity convexity. Then extend these number. Among inequalities, it is shown that if S, T ? L(H(?)) such ber(T) ber(|S|) f a nonnegative superquadratic function, then (ber (T)) ber(f (|S|)) ?ber (f (||S| ...

This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function u x and a parameter λ. In particular, some sharp results of the classical Hilbert inequality are obtained by means of a sharpening of the Cauchy inequality. As applications, some refinements of both the Fejer-Riesz inequality and Hardy inequality inHp function are given.

In this paper we establish new Hermite-Hadamard type inequalities involving fractional integrals with respect to another function. Such fractional integrals generalize the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. c ©2016 All rights reserved.