Approximation of operators related to squared Szász-Mirakjan basis functions
Filomat, Tome 37 (2023) no. 7, p. 2141
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The main objective of this paper is to define a sequence of positive linear operators by means of the squared Szász-Mirakjan basis functions. We estimate the rate of convergence in terms of the modulus of continuity and the class of Lipschitz functions. Furthermore, we have shown the comparison and convergence of these operators with the help of some illustrative graphics.
Classification :
41A25, 41A36
Keywords: Linear positive operators, Szász-Mirakjan operators, Rate of convergence, Modulus of continuity
Keywords: Linear positive operators, Szász-Mirakjan operators, Rate of convergence, Modulus of continuity
Shagufta Rahman; Ali Aral; M Mursaleen. Approximation of operators related to squared Szász-Mirakjan basis functions. Filomat, Tome 37 (2023) no. 7, p. 2141 . doi: 10.2298/FIL2307141R
@article{10_2298_FIL2307141R,
author = {Shagufta Rahman and Ali Aral and M Mursaleen},
title = {Approximation of operators related to squared {Sz\'asz-Mirakjan} basis functions},
journal = {Filomat},
pages = {2141 },
year = {2023},
volume = {37},
number = {7},
doi = {10.2298/FIL2307141R},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307141R/}
}
TY - JOUR AU - Shagufta Rahman AU - Ali Aral AU - M Mursaleen TI - Approximation of operators related to squared Szász-Mirakjan basis functions JO - Filomat PY - 2023 SP - 2141 VL - 37 IS - 7 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2307141R/ DO - 10.2298/FIL2307141R LA - en ID - 10_2298_FIL2307141R ER -
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