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Reconstruction of Baskakov operators preserving some exponential functions
Author(s) -
Ozsarac Firat,
Acar Tuncer
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5228
Subject(s) - baskakov operator , mathematics , modulus of continuity , operator theory , pointwise , rate of convergence , exponential function , shift theorem , constant coefficients , pointwise convergence , convergence (economics) , microlocal analysis , spectral theorem , mathematical analysis , fourier integral operator , type (biology) , fixed point theorem , channel (broadcasting) , approx , economic growth , ecology , brouwer fixed point theorem , computer science , engineering , biology , operating system , danskin's theorem , electrical engineering , economics
The present paper deals with a new modification of Baskakov operators in which the functions exp( μ t ) and exp(2 μ t ), μ >0 are preserved. Approximation properties of the operators are captured, ie, uniform convergence and rate of convergence of the operators in terms of modulus of continuity, approximation behaviors of the operators exponential weighted spaces, and pointwise convergence of the operators by means of the Voronovskaya theorem. Advantages of the operators for some special functions are presented.