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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An investigation into multiplicative fractional Weddle’s inequalities [PDF]
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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Uniformly Lipschitzian mappings in modular function spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2001 Plan Andaluz de Investigación (Junta de Andalucía)
T Dominguez Benavides, Mohamed A Khamsi
exaly +4 more sources
Weighted Inequalities of Milne-Type and Applications: Bridging Classical and Fractional Integrals
Journal of Function SpacesIn this study, weighted Milne-type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne-type inequalities are presented for well-known fractional integrals, such as Riemann–Liouville fractional ...
Hüseyin Budak
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Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls [PDF]
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2020 Rössler system has become one of the reference chaotic systems. Its novelty when introduced, being that exhibits a chaotic attractor generated by a simpler set of nonlinear differential equations than Lorenz system.
A. E. Choque-Rivero +2 more
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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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Representation of standard Liebchtz functions under a microscope [PDF]
مجلة التربية والعلم, 2012 The aim of this paper is to provide a representation of a standard lipschitzian functions by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Taher Ismail, Hind Saleh
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On the generalized iyengar type inequalities [PDF]
, 2023 In the paper, we establish two inequalities for differentiable bounded functions and Lipschitzian function, which are connected with Iyengar integral inequalities, and we present some new results.
Sarıkaya, Mehmet Zeki
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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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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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