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Related papers: Global approximation theorems for general gamma ty…

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In the present paper, we studied the voronovskaja type theorem for general Gamma type operators. Also, we obtain an error estimate for general Gamma type operators.

Numerical Analysis · Mathematics 2015-09-17 Alok Kumar

In the article we propose a general scheme for solutions of some approximation problems under a rather general setting. We illustrate the application of the proposed scheme by a series of examples, in particular we show that many results in…

Functional Analysis · Mathematics 2023-12-29 Oleg Kovalenko

In this article, we achieve some general statistical approximation results for $ \lambda $-Bernstein operators in addition to some other approximation properties. We prove a statistical Voronovskaja-type approximation theorem. We also…

Classical Analysis and ODEs · Mathematics 2019-02-25 Faruk Özger

We prove the existence of entire functions that achieve universal approximations on certain countable sequences of translation operators .

Functional Analysis · Mathematics 2022-02-22 Nikos Tsirivas

A general superapproximation result is derived in this paper which is useful for the local/interior error analysis of finite element methods.

Numerical Analysis · Mathematics 2020-08-12 Susanne C. Brenner

We obtain estimates in simultaneous approximation for a summation-integral type genuine hybrid operator. The convergence of derivatives of operator to the corresponding derivatives of the functions is proved and estimates for rate of…

Classical Analysis and ODEs · Mathematics 2026-05-28 Asha Ram Gairola , Nidhi Bisht

We introduce an asymmetric operator of generalised translation, define the generalised modulus of smoothness by its means, and obtain the direct and inverse theorems in approximation theory for it.

Functional Analysis · Mathematics 2012-08-31 Mikhail K. Potapov , Faton M. Berisha

We develop a general, functional calculus approach to approximation of $C_0$-semigroups on Banach spaces by bounded completely monotone functions of their generators. The approach comprises most of well-known approximation formulas, yields…

Functional Analysis · Mathematics 2018-07-10 A. Gomilko , S. Kosowicz , Yu. Tomilov

An asymmetric operator of generalised translation is introduced in this paper. Using this operator, we define a generalised modulus of smoothness and prove direct and inverse theorems of approximation theory for it.

Functional Analysis · Mathematics 2012-09-03 Mikhail K. Potapov , Faton M. Berisha

Using functional analysis and a Friedrichs approximation lemma for first order differential operators, we derive a global homotopy formula in large degrees for the tangential Cauchy-Riemann operator from local homotopy formulas without loss…

Complex Variables · Mathematics 2012-09-03 Till Brönnle , Christine Laurent-Thiébaut , Jürgen Leiterer

We derive a Dickman approximation for the small jumps of a large class of multivariate L\'evy processes. We then apply this approximation to develop a simulation method for the class of general multivariate gamma distributions (GMGD). A…

Probability · Mathematics 2025-09-19 Michael Grabchak , Xingnan Zhang

The present paper deals with a generalization of the Baskakov operators. Some direct theorems, asymptotic formula and $A$-statistical convergence are established. Our results are based on a $\rho$ function. These results include the…

Classical Analysis and ODEs · Mathematics 2016-08-08 Prashantkumar Patel , Vishnu Narayan Mishra , Mediha Örkcü

We derive expressions required in generalizing the Gutzwiller approximation to models comprising arbitrarily degenerate localized orbitals.

Condensed Matter · Physics 2009-10-30 Takuya Okabe

We focus on the linear convergence of generalized proximal point algorithms for solving monotone inclusion problems. Under the assumption that the associated monotone operator is metrically subregular or that the inverse of the monotone…

Optimization and Control · Mathematics 2022-03-29 Hui Ouyang

In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely summing, almost summing, Cohen summing) are particular cases…

Functional Analysis · Mathematics 2013-05-28 Diana Marcela Serrano-Rodríguez

The aim of the present paper is to introduce Dunkl-Gamma type operators in terms of Appell polynomials and to investigate approximating properties of these operators.

Functional Analysis · Mathematics 2019-01-18 Fatma Tasdelen , Dilek Soylemez , Rabia Aktas

Our objective in this paper is to present the sequence of Stancu type operators including generalized Brenke polynomials. We answer the problem of uniform approximation of continuous functions on closed bounded interval and the problem of…

Functional Analysis · Mathematics 2021-05-18 Sezgin Sucu

In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally,…

Classical Analysis and ODEs · Mathematics 2015-09-09 P. N. Agrawal , Meenu Goyal

In this paper, we give direct theorems on point wise and global approximation by new variants of Bernstein-Durrmeyer operator, introduced by A.-M. et al.[1].

Classical Analysis and ODEs · Mathematics 2020-05-11 Asha Ram Gairola , Karunesh Kumar Singh

In the present note, we give the generalization of $\alpha-$Baskakov Durrmeyer operators depending on a real parameter $\rho$ > 0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of…

Classical Analysis and ODEs · Mathematics 2020-12-29 Jaspreet Kaur , Meenu Goyal
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