Results 51 to 60 of about 336 (171)

On the solution of generalized equations and variational inequalities

Cubo, 2011
Uko and Argyros provided in [18] a Kantorovich-type theorem on the existence and uniqueness of the solution of a generalized equation of the form 𝓕 (𝓤)+ 𝓖(𝓤) ∋ 0, where f is a Fréchet-differentiable function, and g ...
Ioannis K Argyros, Saïd Hilout
doaj  

Multiple Binomial‐Type Operators and Their Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce multiple binomial‐type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin‐type theorem. Furthermore, by using the first and second modulus of continuity together with Peetre’s κ‐functional, we establish the rate of convergence ...
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit, Smritijit Sen   +3 more
wiley   +1 more source

The generalization of Voronovskaja's theorem for a class of linear and positive operators

Journal of Numerical Analysis and Approximation Theory, 2005
In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
Ovidiu T. Pop
doaj   +2 more sources

Expanding Kantorovich’s theorem for solving generalized equations

, 2017
In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x) + Q(x) ϶ 0, (22.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ⟨., .⟩ and corresponding norm ||.||, D ⊆ H an open set and T : H ⇉ H is set-valued and maximal monotone.
Argyros, Ioannis K, Magreñán, Á. Alberto   +1 more
openaire   +1 more source

On the Approximation Process of Shifted‐Knots Bivariate Stancu‐Type Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper focuses on defining bivariate Stancu‐type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by means of Lipschitz kind bivariate functions and weighted functions of two variables. Furthermore, the
Abdullah Alotaibi, Ding-Xuan Zhou
wiley   +1 more source

Equivalent theorem of approximation by linear combination of weighted Baskakov–Kantorovich operators in Orlicz spaces

Journal of Inequalities and Applications, 2019
In this paper, we introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for linear ...
Ling-Xiong Han, Bai-Ni Guo, Feng Qi
doaj   +1 more source

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Journal of Function Spaces, 2020
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen   +2 more
doaj   +1 more source

Analytic and Statistical Convergence Properties in Multiplicative Metric Spaces: A Logarithmic Perspective

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we revisit the structure of multiplicative metric spaces and investigate analytic notions such as convergence, Cauchy sequences, boundedness, and density within this framework. We extend these concepts to their statistical counterparts, including statistical convergence, statistical Cauchy sequences, statistical boundedness, and ...
Listán García María C, Ömer Kişi, Mehmet Gürdal, Selim Çetin, Pramita Mishra   +4 more
wiley   +1 more source

A Bézier variant of ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu operators

Journal of Inequalities and Applications
This paper mainly introduces ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu-Bézier operators that are a natural continuation of Stancu-type ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich operators constructed by Q.-B. Cai et al.
Xiu-Liang Qiu, Murat Bodur, Qing-Bo Cai
doaj   +1 more source

On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces

Journal of Inequalities and Applications, 2008
We consider the Kantorovich- and the Durrmeyer-type modifications of the generalized Favard operators and we prove an inverse approximation theorem for functions f such that wσf∈Lp(R), where 1≤p≤∞ and wσ(x)=exp(−σx2 ...
Aneta Sikorska-Nowak, Grzegorz Nowak
doaj   +1 more source