An investigation into multiplicative fractional Weddle’s inequalities
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
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Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes
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
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Solving the Variational Inequality Problem Defined on Intersection of Finite Level Sets
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
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Uniqueness properties of functionals with Lipschitzian derivative
7 ...
openaire +3 more sources
Exploring Advanced Weighted Integral Inequalities via Extended Fractional Calculus Approaches
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
On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Gfrerer H +3 more
europepmc +1 more source
Parameterized inequalities based on three times differentiable functions
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
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
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Smooth stable manifolds for the non-instantaneous impulsive equations with applications to Duffing oscillators. [PDF]
Lu W, Pinto M, Xia Y.
europepmc +1 more source
Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications
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
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