Results 61 to 70 of about 226 (176)

An investigation into multiplicative fractional Weddle’s inequalities

open access: yesBoundary Value Problems
This article presents a new way to think about multiplicative Weddle inequalities, which is based on multiplicative Riemann-Liouville fractional integrals.
Bouharket Benaissa   +2 more
doaj   +1 more source

Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

open access: yesJournal of Inequalities and Applications
This in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded ...
Abdelghani Lakhdari   +4 more
doaj   +1 more source

Solving the Variational Inequality Problem Defined on Intersection of Finite Level Sets

open access: yesAbstract and Applied Analysis, 2013
Consider the variational inequality VI(C,F) of finding a point x*∈C satisfying the property 〈Fx*,x-x*〉≥0, for all x∈C, where C is the intersection of finite level sets of convex functions defined on a real Hilbert space H and F:H→H is an L-Lipschitzian ...
Songnian He, Caiping Yang
doaj   +1 more source

Exploring Advanced Weighted Integral Inequalities via Extended Fractional Calculus Approaches

open access: yesFractal and Fractional
This paper investigates weighted Milne-type (M−t) inequalities within the context of Riemann–Liouville (R−L) fractional integrals. We establish multiple versions of these inequalities, applicable to different function categories, such as convex functions
Areej A. Almoneef   +3 more
doaj   +1 more source

Parameterized inequalities based on three times differentiable functions

open access: yesBoundary Value Problems
This paper presents a general identity including two real parameters for three times differentiable functions. By using this equality, we prove several inequalities by using diverse function classes such as convex function, bounded function, Lipschitzian
Bouharket Benaissa   +2 more
doaj   +1 more source

Novel Fractional Boole’s-Type Integral Inequalities via Caputo Fractional Operator and Their Implications in Numerical Analysis

open access: yesMathematics
The advancement of fractional calculus, particularly through the Caputo fractional derivative, has enabled more accurate modeling of processes with memory and hereditary effects, driving significant interest in this field.
Wali Haider   +4 more
doaj   +1 more source

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

open access: yesFractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir   +3 more
doaj   +1 more source

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