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In this paper, a new generalized Bernstein-Bezier type operators is constructed.The estimates of the moments of these operators are investigated. The rate of convergence in terms of modulus of continuity is given. Then, the equivalent…

泛函分析 · 数学 2019-12-05 Qiu-Lan Qi , Dan-Dan Guo , Ge Yang

The present paper deals with construction of newly family of Neural Network operators, that is, Steklov Neural Network operators. By using Steklov type integral, we introduce a new version of Neural Network operators and we obtain some…

泛函分析 · 数学 2024-12-18 S. N. Karaman , M. Turgay , T. Acar

We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove $L^{p}$-approximation and provide…

经典分析与常微分方程 · 数学 2023-01-04 Gülen Başcanbaz-Tunca , Heiner Gonska

In the present paper, we introduce the Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators on the unbounded domain which is a generalization of (p,q) Bernstein-Stancu-Kantorovich operators. We have also derived its Korovkin…

经典分析与常微分方程 · 数学 2016-05-31 Vishnu Narayan Mishra , Shikha Pandey

In this note the Choquet type operators are introduced, in connection to Choquet's theory of integrability with respect to a not necessarily additive set function. Based on their properties, a quantitative estimate for the nonlinear…

经典分析与常微分方程 · 数学 2021-04-14 Sorin G. Gal , Constantin P. Niculescu

The present paper considers a q-analogue of an operator defined by Erku\c{s}-Duman et al. (Calcolo, 45(1) (2008), 53-67) involving q-Lagrange polynomials in several variables. The Korovkin type theorems in the settings of deferred weighted…

综合数学 · 数学 2021-11-05 Purshottam Narain Agrawal , Rahul Shukla , Behar Baxhaku

In the present paper, we consider the B\'ezier variant of the general family of Gupta-Srivastava operators \cite{GS:18}. For the proposed operators, we discuss the rate of convergence by using of Lipschitz type space, Ditzian-Totik modulus…

经典分析与常微分方程 · 数学 2019-03-12 Ram Pratap , Naokant Deo

This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of…

泛函分析 · 数学 2024-04-18 Sorin G. Gal , Constantin P. Niculescu

In the present paper, we construct and investigate a variant of modified $(p,q)$-Baskakov operators, which reproduce the test function $x^2$. The order of approximation of the operators via K-functional and second order, usual modulus of…

经典分析与常微分方程 · 数学 2016-03-23 Shikha Pandey , Vishnu Narayan Mishra , L N Mishra

In this paper, we present a new type of $\alpha-$Bernstein-P\u{a}lt\u{a}nea operators having a better order of approximation than itself. We establish some approximation results concerning the rate of convergence, error estimation and…

经典分析与常微分方程 · 数学 2020-06-05 Jaspreet Kaur , Meenu Goyal

In this article we present the Durrmeyer variant of generalized Bernstein operators that preserve the constant functions involving non-negative parameter ?. We derive the approximation behaviour of these operators including global…

经典分析与常微分方程 · 数学 2018-08-07 Arun Kajla , Meenu Goyal

In this article, we analyse the Kantorovich type exponential sampling operators and its linear combination. We derive the Voronovskaya type theorem and its quantitative estimates for these operators in terms of an appropriate K-functional.…

泛函分析 · 数学 2020-02-10 B. Shivam , A. Sathish Kumar

Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered. The…

经典分析与常微分方程 · 数学 2018-11-20 Yu. Kolomoitsev , M. Skopina

The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and…

数值分析 · 数学 2018-10-23 Ana Maria Acu , Heiner Gonska

This article starts with the fundamental theory of stochastic type convergence and the significance of uniform integrability in the context of expectation value. A novel probabilistic sampling kantorovich (PSK-operators) is established with…

综合数学 · 数学 2025-06-17 Digvijay Singh , Rahul Shukla , Karunesh Kumar Singh

In this paper, we introduce the higher order generalization of Bernstein type operators defined by (p,q)-integers. We establish some approximation results for these new operators by using the modulus of continuity.

经典分析与常微分方程 · 数学 2016-01-01 M. Mursaleen , Md. Nasiruzzaman

In our present investigation, we are concerned with the Kantorovich variant of Lupa\c{s}-Stancu operators based on Polya distribution with Pochhammer $k$-symbol. We briefly give some basic properties of the generalized operators and by…

泛函分析 · 数学 2020-12-23 Övgü Gürel Yılmaz , Rabia Aktaş , Fatma Taşdelen , Ali Olgun

Here, we introduce three kinds of neural network operators of convolution type which are activated by q-deformed and \b{eta}-parametrized half hyperbolic tangent function. We obtain quantitative convergence results to the identity operator…

数值分析 · 数学 2025-10-08 Asiye Arif , Tugba Yurdakadim

In this paper, we introduce Mellin-Steklov exponential samplingoperators of order $r,r\in\mathbb{N}$, by considering appropriate Mellin-Steklov integrals. We investigate the approximation properties of these operators in continuousbounded…

泛函分析 · 数学 2024-10-15 D Ozer , S Kursun , T Acar

In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to…

经典分析与常微分方程 · 数学 2016-06-23 Tuncer Acar