APPROXIMATION BY DISCRETE SINGULAR OPERATORS
نویسندگان
چکیده
منابع مشابه
Quantitative Uniform Approximation by Generalized Discrete Singular Operators
Here we study the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular operators. We treat both the unitary and non-unitary cases of the operators above. We establish quantitatively the pointwise and uniform convergences of these operators to the unit operator by involving the uniform higher modulus of smoothness of a uni...
متن کاملStatistical Approximation by Double Picard Singular Integral Operators
We first construct a sequence of double smooth Picard singular integral operators which do not have to be positive in general. After giving some useful estimates, we mainly show that it is possible to approximate a function by these operators in statistical sense even though they do not obey the positivity condition of the statistical Korovkin theory.
متن کاملGlobal smoothness preservation and simultaneous approximation by multivariate discrete operators
In this article we study the multivariate generalized discrete singular operators defined on R , N ≥ 1, regarding their simultaneus global smoothness preservation property with respect to Lp norm for 1 ≤ p ≤ ∞, by using higher order moduli of smoothness. Furthermore, we study their simultaneous approximation properties. Mathematics Subject Classification (2010): 26A15, 26D15, 41A17, 41A25, 41A2...
متن کاملDirect Approximation Theorems for Discrete Type Operators
In the present paper we prove direct approximation theorems for discrete type operators (Lnf)(x) = ∞ ∑ k=0 un,k(x)λn,k(f), f ∈ C[0,∞), x ∈ [0,∞) using a modified K−functional. As applications we give direct theorems for Baskakov type operators, Szász-Mirakjan type operators and Lupaş operator.
متن کاملMultiscale Discrete Approximation of Fourier Integral Operators
Abstract. We develop a discretization and computational procedures for the approximation of the action of Fourier integral operators whose canonical relations are graphs. Such operators appear in many physical contexts and computational problems, for instance in the formulation of imaging and inverse scattering of seismic reflection data. Our discretization and algorithms are based on a multi-s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cubo (Temuco)
سال: 2013
ISSN: 0719-0646
DOI: 10.4067/s0719-06462013000100006