Results 11 to 20 of about 11,808,409 (120)

Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials [PDF]

Journal of Inequalities and Applications, 2017
The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg, Purshottam Narain Agrawal, Serkan Araci   +2 more
doaj   +2 more sources

The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we introduce a bivariate Kantorovich variant of combination of Szász and Chlodowsky operators based on Charlier polynomials. Then, we study local approximation properties for these operators.
Purshottam Narain Agrawal, Behar Baxhaku, Ruchi Chauhan   +2 more
doaj   +2 more sources

Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators

Journal of Inequalities and Applications
Through the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are studied in their Stancu form, and the approximation properties are obtained.
Md. Nasiruzzaman, Mohammad Dilshad, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal   +3 more
doaj   +2 more sources

On modified Dunkl generalization of Szász operators via q-calculus [PDF]

Journal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen, Md Nasiruzzaman, Abdullah Alotaibi   +2 more
doaj   +2 more sources

Approximation by q-Post-Widder Operators Based on a New Parameter

Abstract and Applied Analysis
The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated.
Qiu Lin
doaj   +2 more sources

Integral Modification of Lupaş-Type Operators for Improved Approximation and Reduced Bias

Journal of Function Spaces
In this paper, we introduce a generalized class of Lupaş-type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local ...
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani   +2 more
doaj   +2 more sources

Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Journal of Inequalities and Applications
In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter α ∈ [ 0 , 1 ] $\alpha \in
Md. Nasiruzzaman
doaj   +2 more sources

Holmstedt's formula for the K‐functional: the limit case θ0=θ1$\theta _0=\theta _1$

Mathematische Nachrichten, Volume 296, Issue 12, Page 5474-5492, December 2023., 2023
Abstract We consider K‐interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt‐type formula to be held in the limiting case θ0=θ1∈{0,1}$\theta _0=\theta _1\in \lbrace 0,1\rbrace$. We also study the case θ0=θ1∈(0,1)$\theta _0=\theta _1\in (0,1)$.
Irshaad Ahmed, Alberto Fiorenza, Amiran Gogatishvili   +2 more
wiley   +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

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