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On Some Hermite–Hadamard Inequalities for Fractional Integrals and their Applications
We establish some new extensions of Hermite–Hadamard inequality for fractional integrals and present several applications for the Beta-function.
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Some New Bounds of Gauss–Jacobi and Hermite–Hadamard-Type Integral Inequalities
We deduce two interesting identities for the Gauss–Jacobi and Hermite–Hadamard-type integral inequalities. By using the first lemma as an auxiliary...
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Self-adaptive Technique with Double Inertial Steps for Inclusion Problem on Hadamard Manifolds
In this article, we investigate monotone and Lipschitz continuous variational inclusion problem in the settings of Hadamard manifolds. We propose a...
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A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications
In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the...
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Proximal Methods with Bregman Distances to Solve VIP on Hadamard Manifolds with Null Sectional Curvature
We present an extension of the proximal point method with Bregman distances to solve variational inequality problems (VIP) on Hadamard manifolds with...
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Fejér and Hermite–Hadamard type inequalities for N-quasiconvex functions
Some new extensions and refinements of Hermite–Hadamard and Fejér type inequalities for functions which are N -quasiconvex are derived and discussed.
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Fejér type inequalities for higher order convex functions and quadrature formulae
The aim of this paper is to obtain Fejér type inequalities for higher order convex functions and the general weighted integral formula involving w -har...
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Fractional Trapezium-Like Inequalities Involving Generalized Relative Semi-(m, h1, h2)-Preinvex Map**s on an m-Invex Set
We deduce a fractional integral equality for twice differentiable map**s defined on an m -invex set. By using this equality, we obtain new estimates...
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2023—A twofold commemoration: the 100th birthday of Walsh functions and the 50th anniversary of Professor Joseph Leonard Walsh’s death
In 2023, it is 100 years after the introduction of Walsh functions and 50 years after the death of their introducer Joseph Leonard Walsh. This paper...
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On n-polynomial p-convex functions and some related inequalities
In this paper, we introduce a new class of convex functions, so-called n -polynomial p -convex functions. We discuss some algebraic properties and...
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Hadamard and Fejér–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals
In this paper we are interested to present the Hadamard and the Fejér–Hadamard type integral inequalities for harmonically convex functions via two...
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The Hermite–Hadamard Inequality in Higher Dimensions
The Hermite–Hadamard inequality states that the average value of a convex function on an interval is bounded from above by the average value of the...
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On the monotonicity of left and right Riemann sums
This paper is dedicated to proving general theorems about the monotonicity of left and right Riemann sums, a problem first raised by Fejér in 1950....
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\(\alpha \)-Firmly nonexpansive operators on metric spaces
We extend to p -uniformly convex spaces tools from the analysis of fixed point iterations in linear spaces. This study is restricted to an appropriate...
