Results 11 to 20 of about 87 (80)

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
doaj   +1 more source

Some examples of equivalent rearrangement‐invariant quasi‐norms defined via f∗$f^*$ or f∗∗$f^{**}$

Mathematische Nachrichten, Volume 296, Issue 5, Page 1781-1802, May 2023., 2023
Abstract We consider Lorentz–Karamata spaces, small and grand Lorentz–Karamata spaces, and the so‐called L$\mathcal {L}$, R$\mathcal {R}$, LL$\mathcal {LL}$, LR$\mathcal {LR}$, RL$\mathcal {RL}$, and RR$\mathcal {RR}$ spaces. The quasi‐norms for a function f in each of these spaces can be defined via the nonincreasing rearrangement f∗$f^*$ or via the ...
Leo R. Ya. Doktorski, Pedro Fernández‐Martínez, Teresa Signes   +2 more
wiley   +1 more source

A note on the convergence of Phillips operators by the sequence of functions via q-calculus

Demonstratio Mathematica, 2022
The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem, Ayman-Mursaleen Mohammad, Nasiruzzaman Md.   +2 more
doaj   +1 more source

Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces

Mathematische Nachrichten, Volume 295, Issue 9, Page 1669-1689, September 2022., 2022
Abstract We study traces of weighted Triebel–Lizorkin spaces Fp,qs(Rn,w)$F^s_{p,q}(\mathbb {R}^n,w)$ on hyperplanes Rn−k$\mathbb {R}^{n-k}$, where the weight is of Muckenhoupt type. We concentrate on the example weight wα(x)=|xn|α$w_\alpha (x) = {\big\vert x_n\big\vert }^\alpha$ when |xn|≤1$\big\vert x_n\big\vert \le 1$, x∈Rn$x\in \mathbb {R}^n$, and ...
Blanca F. Besoy, Dorothee D. Haroske, Hans Triebel   +2 more
wiley   +1 more source

Gamma variant of (p, q) -Bernstein type novel operators [PDF]

Journal of Hyperstructures
In this paper, we are concerned with a new modification of the well-known (p;q)-Bernstein novel type operators with the gamma integral functions. The direct results demonstrate several aspects of approximations.
Narendra Kurre
doaj   +1 more source

On interpolation of weakly compact bilinear operators

Mathematische Nachrichten, Volume 295, Issue 7, Page 1279-1291, July 2022., 2022
Abstract We study the interpolation properties of weakly compact bilinear operators by the real method and also by the complex method. We also study the factorization property of weakly compact bilinear operators through reflexive Banach spaces.
Fernando Cobos, Luz M. Fernández‐Cabrera, Antón Martínez   +2 more
wiley   +1 more source

Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators

Advances in Difference Equations, 2020
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
doaj   +1 more source

On the Durrmeyer variant of q-Bernstein operators based on the shape parameter λ

Journal of Inequalities and Applications, 2023
In this work, we consider several approximation properties of a Durrmeyer variant of q-Bernstein operators based on Bézier basis with the shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in[ -1,1]$ .
Lian-Ta Su, Reşat Aslan, Feng-Song Zheng, M. Mursaleen   +3 more
doaj   +1 more source

Approximation Properties and q‐Statistical Convergence of Stancu‐Type Generalized Baskakov‐Szász Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai, Adem Kilicman, Mohammad Ayman Mursaleen, Mikail Et   +3 more
wiley   +1 more source

New Results on the Equivalence of K‐Functionals and Modulus of Continuity of Functions Defined on the Sobolev Space Constructed by the Generalized Jacobi‐Dunkl Operator

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In this paper, we establish some new generalized results on the equivalence of K‐functionals and modulus of continuity of functions defined on the Sobolev space Lα,β2ℝ, by using the harmonic analysis related to the Jacobi‐Dunkl operator Δα,β, where α ≥ β ≥ −1/2 and α ≠ −1/2.
Ali El Mfadel, Said Melliani, M’hamed Elomari, Mohammad Mirzazadeh   +3 more
wiley   +1 more source