Hermite–hadamard–mercer inequality

Results 61 to 70 of about 558,085 (88)

Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus

Boundary Value Problems
This study generalizes Hermite–Hadamard–Mercer type inequalities using Riemann–Liouville fractional integrals within the framework of multiplicative calculus.
Abdul Mateen +3 more
doaj +1 more source

Evolutionary Approach to Inequalities of Hermite–Hadamard–Mercer Type for Generalized Wright’s Functions Associated with Computational Evaluation and Their Applications

Fractal and Fractional
The theory of integral inequalities has a wide range of applications in physics and numerical computation, and plays a fundamental role in mathematical analysis.
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu +2 more
doaj +1 more source

Generalizations and Refinements of Hermite-Hadamard's Inequality [PDF]

, 2001
In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex ...
Qi, Feng, Yang, Qiao, Wei, Zong-Li
core +1 more source

New Perspectives of Hermite–Hadamard–Mercer-Type Inequalities Associated with ψ_k-Raina’s Fractional Integrals for Differentiable Convex Functions

Fractal and Fractional
Starting from ψk-Raina’s fractional integrals (ψk-RFIs), the study obtains a new generalization of the Hermite–Hadamard–Mercer (H-H-M) inequality. Several trapezoid-type inequalities are constructed for functions whose derivatives of orders 1 and 2, in ...
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu +2 more
doaj +1 more source

New Inequalities for GA–h Convex Functions via Generalized Fractional Integral Operators with Applications to Entropy and Mean Inequalities

Fractal and Fractional
We prove the inequalities of the weighted Hermite–Hadamard type the and Hermite–Hadamard–Mercer type for an extremely rich class of geometrically arithmetically-h-convex functions (GA-h-CFs) via generalized Hadamard–Fractional integral operators (HFIOs).
Asfand Fahad +5 more
doaj +1 more source

Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure. [PDF]