Hermite-Hadamard type inequalities for new class h-convex mappings utilizing weighted generalized fractional integrals
-
Bouharket Benaissa
and
Samet Erden
Abstract
In this paper, we first introduce the fractional integral operators of a function with respect to another function. Then, we prove a new version of Hermite-Hadamard for newly introduced fractional integral operators. For this aim, we use the h-convex function in the case the function h is a B-function. Moreover, we also establish several corresponding trapezoid and midpoint type inequalities by using h-convex function and Hölder inequality.
(Communicated by Tomasz Natkaniec)
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Articles in the same Issue
- A note on the coprime power graph of groups
- Simplified axiomatic system of DRl-semigroups
- Special filters in bounded lattices
- Reichenbach’s causal completeness of quantum probability spaces
- A construction of magmas and related representation
- Extensions of the triangular D(3)-Pair {3, 6}
- Hermite-Hadamard type inequalities for new class h-convex mappings utilizing weighted generalized fractional integrals
- Divergence operator of regular mappings
- Monotonicity of the ratio of two arbitrary gaussian hypergeometric functions
- Oscillation and asymptotic criteria for certain third-order neutral differential equations involving distributed deviating arguments
- Multiplicity results for a fourth-order elliptic equation of p(x)-kirchhoff type with weights
- Singular discrete dirac equations
- Convergence of bivariate exponential sampling series in logarithmic weighted spaces of functions
- Fundamental inequalities for the iterated Fourier-cosine convolution with Gaussian weight and its application
- Existence of solutions and Hyers-Ulam stability for κ-fractional iterative differential equations
- On almost cosymplectic generalized (k, μ)ʹ-spaces
- On some recent selective properties involving networks
- Minimal usco and minimal cusco maps and the topology of pointwise convergence
- Corrigendum to: Every positive integer is a sum of at most n + 2 centered n-gonal numbers
