[HTML][HTML] Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums

BR Draganov - Journal of Approximation Theory, 2015 - Elsevier
We establish matching direct and two-term strong converse estimates of the rate of weighted
simultaneous approximation by the Bernstein operator and its iterated Boolean sums for …

[PDF][PDF] A new characterization of weighted Peetre K-functionals (II)

B Draganov, K Ivanov - Serdica Mathematical Journal, 2007 - math.bas.bg
Certain types of weighted Peetre K-functionals are characterized by means of the classical
moduli of smoothness taken on a proper linear transforms of the function. The weights with …

Strong Converse Inequality for Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator

I Gadjev, PE Parvanov, R Uluchev - Results in Mathematics, 2024 - Springer
We investigate the weighted approximation of functions in\(L_p\)-norm by Kantorovich
modifications of the classical Szász-Mirakjan operator, with weights of type\((1+ …

Weighted approximation of functions by the Szász–Mirakjan–Kantorovich operator

I Gadjev, PE Parvanov - Results in Mathematics, 2021 - Springer
Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator | Results
in Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with …

[PDF][PDF] Simultaneous approximation by the Bernstein operator

BR Draganov - 2024 - fmi.uni-sofia.bg
SN Bernstein introduced in 1912 an approximation operator, which is now named after him,
in order to give a simple proof of Weierstrass's theorem that every continuous function on a …

Weighted approximation of functions in L_ ∞ 0, ∞) L∞ 0,∞)

I Gadjev, PE Parvanov - Mediterranean Journal of Mathematics, 2017 - Springer
Direct theorems in terms of the weighted K-functional for the uniform weighted
approximation by a class of operators which reproduce the functions\displaystyle E_i (x)= x …

[PDF][PDF] Natural weights for uniform approximation by the Szász–Mirakjan operator

BR Draganov, KG Ivanov - Constructive Theory of Functions …, 2013 - fmi.uni-sofia.bg
We establish a sharp characterization of the error of the Szász-Mirakjan operator in uniform
norm with power-type weights in terms of a K-functional. The weight exponents are optimal …

[PDF][PDF] Weighted approximation by the Goodman-Sharma operators

KG Ivanov, PE Parvanov - East J. Approx, 2009 - researchgate.net
The uniform weighted approximation errors of the Goodman–Sharma operators are
characterized for functions from C (w)[0, 1] with weight of the form xγ0 (1− x) γ1 for γ0, γ1∈ …

Weighted approximation of functions in Lp-norm by Baskakov-Kantorovich operator

PE Parvanov - Analysis Mathematica, 2020 - Springer
WEIGHTED APPROXIMATION OF FUNCTIONS IN Lp-NORM BY BASKAKOV–KANTOROVICH
OPERATOR Page 1 Analysis Math., 46 (4) (2020), 821–842 DOI: 10.1007/s10476-020-0059-1 …

Weighted approximation by Kanotrovich type modification of Meyer-König and Zeller operator

I Gadjev, P Parvanov, R Uluchev - Annual of Sofia University …, 2018 - stipendii.uni-sofia.bg
We investigate the weighted approximation of functions in $ L_p $-norm by Kantorovich
modifications of the classical Meyer-König and Zeller operator, with weights of type $(1 …