Gamma variant of (p, q) -Bernstein type novel operators [PDF]
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
Holmstedt's formula for the K‐functional: the limit case θ0=θ1$\theta _0=\theta _1$
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 +2 more
wiley +1 more source
Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators
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
Quantitative estimates for a certain bivariate Chlodowsky-Szasz-Kantorovich type operators [PDF]
In this paper, we introduce a bivariate Kantorovich variant of the combination of Chlodowsky and Szasz type operators and study local approximation properties of these operators.
Büyükyazıcı, İbrahim +1 more
core +1 more source
A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu
In the present article we investigate a variant of the Kantorovich type modification defined by Kajla (2018) i.e. we introduce a function ζ(ϰ)in the operators defined by Kajla (2018) s.t.
Abhishek Kumar
doaj +1 more source
The 𝐾-functional for 𝐻¹ and BMO
Peetre’s K K -functional for the Hardy space H 1 {H^1} and the space BMO of functions of bounded mean oscillation is explicitly characterized in terms of truncated square functions.
Björn Jawerth
core +1 more source
The 𝐾-functional for 𝐻^{𝑝} and BMO in the poly-disk
Peetre’s K K -functional for the Hardy space H p {H^p} , 0 > p > + ∞ 0 > p > + \infty , and the space BMO of ...
Björn Jawerth
core +1 more source
A note on real interpolation of Hardy spaces in the polydisk
The atomic decomposition for the Hardy spaces H p {H^p} of the product of upper half-spaces is used to characterize Peetre’s K K -functional for two such spaces.
Björn Jawerth, Alberto Torchinsky
core +1 more source
Some approximation results on Chlodowsky type q−Bernstein-Schurer operators
The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary ...
Mursaleen, M., Aslan, Reşat
core +1 more source
Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus
The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
doaj +1 more source

