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On the modulus of continuity of analytic functions

Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985
Let G be an open set in the plane such that \(\partial G\), the boundary of G, contains at least two finite points. Let f be analytic in G and continuous in the closure \(\bar G\) of G. Let \(\mu\) (t) be continuous, nondecreasing and non-negative for \(t\geq 0\) and such that log \(\mu\) (exp t) is a concave function of t for real t. Further we assume
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Effectiveness of the global modulus of continuity on metric spaces

Theoretical Computer Science, 1997
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Klaus Weihrauch, Xizhong Zheng
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Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials

Journal of Inequalities and Applications
This article explores a Chlodowsky-type extension of the Kantorovich variant of Szász operators based on the associated λ-polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and ...
Nusrat Raza, Manoj Kumar
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Shape-Preserving and Convergence Properties for the q-Szász-Mirakjan Operators for Fixed q∈(0,1)

Abstract and Applied Analysis, 2014
We introduce a q-generalization of Szász-Mirakjan operators Sn,q and discuss their properties for fixed q∈(0,1). We show that the q-Szász-Mirakjan operators Sn,q have good shape-preserving properties.
Heping Wang, Fagui Pu, Kai Wang
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A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

Mathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
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Modulus of continuity of controlled Loewner-Kufarev equations and random matrices. [PDF]

Anal Math Phys, 2020
Amaba T, Friedrich R.
europepmc   +1 more source

Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results

Mathematics
In this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman, Mohammad Farid, Nadeem Rao   +2 more
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Modulus of continuity for a martingale sequence

, 2020
6 ...
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On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators

Journal of Function Spaces, 2018
We construct a new family of univariate Chlodowsky type Bernstein-Stancu-Schurer operators and bivariate tensor product form. We obtain the estimates of moments and central moments of these operators, obtain weighted approximation theorem, establish ...
Lian-Ta Shu, Guorong Zhou, Qing-Bo Cai
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Kolmogorov-type inequalities for hypersingular integrals with homogeneous characteristics

Researches in Mathematics
In this article we obtain sharp Kolmogorov-type inequalities that estimate the uniform norm of a hypersingular integral operator $$ D^{w,\Omega}_K f(x): = \int_{C} w(|t|_K) (f(x+t) - f(x))\Omega(t)dt, x\in C, $$ using the uniform norm of the ...
V.F. Babenko, O.V. Kovalenko, N.V. Parfinovych   +2 more
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