Banach algebras of ultrametric Lipschitzian functions
, 2019 International audienceWe examine Banach algebras of bounded uniformly continuous functions and particularly Lipschitzian functions from an ultrametric space IE to a complete ultrametric field IK: prime and maximal ideals, multiplicative spectrum, Shilov ...
Escassut, Alain, Chicourrat, Monique
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An investigation into multiplicative fractional Weddle’s inequalities
Boundary Value ProblemsThis 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
Journal of Inequalities and ApplicationsThis 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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On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Comput Optim Appl, 2023 Gfrerer H +3 more
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Lipschitzian selections in approximation from nonconvex sets of bounded functions [PDF]
, 1989 Consider the problem of finding a best uniform approximation to a function ƒ from a nonconvex set K in the space of bounded functions. Conditions are developed on K so that the operator mapping ƒ to one of its best approximations ƒ′ is Lipschitzian with ...
Ubhaya, Vasant A
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Exploring Advanced Weighted Integral Inequalities via Extended Fractional Calculus Approaches
Fractal and FractionalThis 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
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Parameterized inequalities based on three times differentiable functions
Boundary Value ProblemsThis 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
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Solving the Variational Inequality Problem Defined on Intersection of Finite Level Sets
Abstract 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
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Smooth stable manifolds for the non-instantaneous impulsive equations with applications to Duffing oscillators. [PDF]
Proc Math Phys Eng Sci, 2022 Lu W, Pinto M, Xia Y.
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MathematicsThe 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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