Results 1 to 10 of about 195 (127)
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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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. Our results are extensions of many previous contributions related to integral inequalities for Lipschitzian mappings.
Mohaemd Jleli, Bessem Samet
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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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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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Demonstratio Mathematica, 2020 In this article, we present a sufficient condition about the length of the interval for the existence and uniqueness of mild solutions to a fractional boundary value problem with Sturm-Liouville boundary conditions when the data function is of ...
Harjani Jackie +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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Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings
Demonstratio Mathematica, 2022 In this article, fixed point results for self-mappings in the setting of two metrics satisfying FF-lipschitzian conditions of rational-type are proved, where FF is considered as a semi-Wardowski function with constant τ∈R\tau \in {\mathbb{R}} instead of ...
Mehmood Nayyar +3 more
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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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Mathematics, 2023 A certain class of nonlinear differential equations representing a generalized Van der Pol oscillator is proposed in which we study the behavior of the existing solution.
Safia Meftah +6 more
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