Results 1 to 10 of about 187 (137)
On Integral Inequalities Involving Generalized Lipschitzian Functions [PDF]
Journal of Function Spaces, 2020 A new class of mappings that includes the class of Lipschitzian mappings is introduced. For this kind of mappings, new integral inequalities of Hadamard’s type are obtained.
Mohaemd Jleli, Bessem Samet
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Inequalities of Čebyšev Type for Lipschitzian Functions in Banach Algebras [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper we give some Čebyšev type norm inequalities for two Lipschitzian functions on Banach algebras.
Boldea Marius V.
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Generalized Csiszár's f-divergence for Lipschitzian functions [PDF]
Mathematical Inequalities & Applications, 2021 We started with the generalization of the Csisz ́ar’s f -divergence. We stated and proved Jensen’s type inequality for L-Lipschitzian functions. The results for commonly used examples of f-divergences, such as the Kullbach-Leibler divergence, the Hellinger divergence, the R ́enyi divergence and χ2 -distance are derived.
Pečarić D., Pečarić J., Pokaz D.
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Sharp Estimation Type Inequalities for Lipschitzian Mappings in Euclidean Sense on a Disk
Journal of Function Spaces, 2021 Some sharp trapezoid and midpoint type inequalities for Lipschitzian bifunctions defined on a closed disk in Euclidean sense are obtained by the use of polar coordinates. Also, bifunctions whose partial derivative is Lipschitzian are considered.
M. Rostamian Delavar +2 more
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A biparameterized analysis of integral inequalities for bounded and holderian mappings
Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this study, we introduce a new parameterized identity that generates a series of Newton-Cotes formulas for one, two, three, and four points. We then derive several novel Newton-Cotes-type inequalities for functions with bounded and rr-LL-H\"{o ...
Djaber Chemseddine, Benchettah +3 more
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Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions [PDF]
Mathematics of Operations Research, 2015 Using a geometric argument, we show that under a reasonable continuity condition, the Clarke subdifferential of a semi-algebraic (or more generally stratifiable) directionally Lipschitzian function admits a simple form: The normal cone to the domain and limits of gradients generate the entire Clarke subdifferential.
Drusvyatskiy, Dmitriy +2 more
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Frechet vs. Gateaux Differentiability of Lipschitzian Functions [PDF]
Proceedings of the American Mathematical Society, 1992 Examples have been given of Lipschitzian functions that are Gâteaux-differentiable everywhere, but nowhere Fréchet-differentiable. One such example has been reported, mistakenly, in several papers as having domain in L 2 ( [ 0 , π ] ) {L^2}([
Gieraltowska-Kedzierska, Maria +1 more
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Nonlinear problems with asymmetric principal part
Mathematical Modelling and Analysis, 2012 The boundary value problem is considered provided that f : [0, +∞) → [0, +∞) is Lipschitzian and is continuous and Lipschitzian in xand x′. We assume that f is bounded by two linear functions kx and lx, where k > l > 0, and h is bounded.
Armands Gritsans, Felix Sadyrbaev
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Generic differentiability of Lipschitzian functions [PDF]
Transactions of the American Mathematical Society, 1979 It is shown that, in separable topological vector spaces which are Baire spaces, the usual properties that have been introduced to study the local “first order” behaviour of real-valued functions which satisfy a Lipschitz type condition are “generically” equivalent and thus lead to a unique class of “generically smooth” functions.
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Smooth Extensions of Lipschitzian Real Functions [PDF]
Proceedings of the American Mathematical Society, 1988 In this short note we point out that any Lipschitzian real function f f defined in a subset K K of a Banach space E E , with span ¯ (K) ≠ E \overline {{\text {span}}} {\text {(K ...
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