Results 41 to 50 of about 5,534 (165)

Stancu-Type Generalized q-Bernstein–Kantorovich Operators Involving Bézier Bases

Mathematics, 2022
We construct the Stancu-type generalization of q-Bernstein operators involving the idea of Bézier bases depending on the shape parameter −1≤ζ≤1 and obtain auxiliary lemmas.
Wen-Tao Cheng, Md Nasiruzzaman, Syed Abdul Mohiuddine   +2 more
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On Natural Functions and Lipschitz Functions

Real Analysis Exchange, 2003
Let \(E\subset \mathbb R\) be a nonempty bounded set, let \(X\) be a metric space with metric \(d\). The total variation \(V(f,E)\) of a map \(f\colon~E\rightarrow X\) on \(E\) is defined as \[ V(f,E)=\sup~\left\{\sum_{i=1}^{m}d(f(t_i),f(t_{i-1 ...
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A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis

Mathematical Modelling and Analysis
The $\alpha$−Lipschitz character of a time series or an image summarizes, in the single parameter α, some persistence properties of the original function modeling the given signal.
Hugo Aimar, Juliana Boasso
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Regularity of Lipschitz Functions on the Line

Real Analysis Exchange, 2003
The authors note a gap in Sciffer's construction of an everywhere irregular Lipschitz function of the real line and give their own construction. The Dini derivatives are denoted by \(D^+\), \(D_+\), \(D^-\), \(D_-\). The Clarke derivatives are \(S^+f(x)=\limsup_{y\to x+,h\to0}(f(y+h)-f(y))/h\), \(S_+f(x)=\liminf_{y\to x+,h\to0}(f(y+h)-f(y))/h\), \(S^-f(
Preiss, David, Rolland, Louise
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Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces

Open Mathematics
Let L=−△+VL=-\bigtriangleup +V be the Schrödinger operator on Rn{{\mathbb{R}}}^{n}, where V≠0V\ne 0 is a non-negative function satisfying the reverse Hölder class RHq1R{H}_{{q}_{1}} for some q1>n⁄2{q}_{1}\gt n/2. △\bigtriangleup is the Laplacian on Rn{{\
Celik Suleyman, Guliyev Vagif S., Akbulut Ali   +2 more
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Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces

Abstract and Applied Analysis, 2014
We prove a quasiconformal analogue of Koebe’s theorem related to the average Jacobian and use a normal family argument here to prove a quasiregular analogue of this result in certain domains in n-dimensional space.
Miodrag Mateljević
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Density of Lipschitz functions in energy

Calculus of Variations and Partial Differential Equations, 2022
AbstractIn this paper, we show that the density in energy of Lipschitz functions in a Sobolev space$$N^{1,p}(X)$$N1,p(X)holds for all$$p\in [1,\infty )$$p∈[1,∞)whenever the spaceXis complete and separable and the measure is Radon and positive and finite on balls. Emphatically,$$p=1$$p=1is allowed.
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INEQUALITIESOFTHE3/8-SIMPSONTYPEFOR DIFFERENTIABLEFUNCTIONSVIAGENERALIZED FRACTIONALOPERATORS

Проблемы анализа
Simpson-typeinequalitiesareanimportanttoolinmath ematical analysis, particularly inthe studyof integrals. Inthis paper,wepresentnewgeneralized3/8-Simpson-type inequalities for functionswhosefirstderivativemodulus is(h,m)-convexand ...
B.Bayraktar, L. G´omez, J. E. N´apoles Vald´es   +2 more
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Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials

Journal of Inequalities and Applications, 2017
The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg, Purshottam Narain Agrawal, Serkan Araci   +2 more
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Lipschitz Functions and Spectral Synthesis [PDF]

Proceedings of the American Mathematical Society, 1981
An S S -set in the circle group
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