The second order modulus revisited: remarks, applications, problems [PDF]
Journal of Numerical Analysis and Approximation TheorySeveral questions concerning the second order modulus of smoothness are addressed in this note. The central part is a refined analysis of a construction of certain smooth functions by Zhuk and its application to several problems in approximation theory,
Heiner Gonska, Ralitza K. Kovacheva
doaj +2 more sources
A characterization of a modulus of smoothness in multidimensional setting
, 2011 A classical result of approximation theory states that the modulus of smoothness of a function f (omega(f,delta)), defined by means of the variation functional, converges to 0 as delta tends to 0 from the right if and only if f is absolutely continuous.
ANGELONI, Laura
openaire +2 more sources
Best trigonometric approximation and modulus of smoothness of functions in weighted grand Lebesgue spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this work, first of all, Lpw),Ө (T) weighted grand Lebesgue spaces and Muckenhoupt weights is defined. The information about properties of these spaces is given. Let Tn be the trigonometric polynomial of best approximation.
Sadulla Z. Jafarov
doaj +2 more sources
N- Monotone Approximation in Weighted Space [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 The purpose of this paper is to discuss the degree of best monotone multi- approximation of unbounded functions weighted space in terms the modules of smoothness by using some algebraic linear operators. In addition, introduced ,proofs some properties of
Alaa Adnan, Wameeth Ali
doaj +1 more source
Two sharp inequalities for operators in a Hilbert space
Researches in Mathematics, 2022 In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N.
N.O. Kriachko
doaj +1 more source
Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bögel Space
Mathematics, 2022 In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators.
Abdullah Alotaibi
doaj +1 more source
Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2021 We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the
Omar Khashan +2 more
doaj +1 more source
Properties of Generalized Modulus of Smoothness and Generalized Modulus of Convexity
Journal of Harbin University of Science and Technology, 2020 Based on the definitions of generalized modulus of smoothness, the relation between generalized modulus of smoothness and t in the Banach spaces is studied, which proves three equivalent conditions of uniform normal structure and four equivalent ...
ZHAO Liang, YU Yang
doaj +1 more source
Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators
Journal of Function Spaces, 2021 We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function.
Lahsen Aharouch +2 more
doaj +1 more source
A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces [PDF]
, 2021 In this paper we study approximation theorems for $L^2$-space on Damek-Ricci spaces. We prove direct Jackson theorem of approximations for the modulus of smoothness defined using spherical mean operator on Damek-Ricci spaces.
Kumar, V, Ruzhansky, M
core +3 more sources