Some Applications of new Modified q-Szász–Mirakyan Operators

Ramesh P. PATHAK; Shiv Kumar SAHOO

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)

  • Volume: 54, Issue: 2, page 71-82
  • ISSN: 0231-9721

Abstract

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This paper we introducing a new sequence of positive q-integral new Modified q-Szász-Mirakyan Operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on [ 0 , ∞ ) . Weighted statistical approximation theorem, Korovkin-type theorems for fuzzy continuous functions, an estimate for the rate of convergence and some properties are also obtained for these operators.

How to cite

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PATHAK, Ramesh P., and SAHOO, Shiv Kumar. "Some Applications of new Modified q-Szász–Mirakyan Operators." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.2 (2015): 71-82. <http://eudml.org/doc/276092>.

@article{PATHAK2015,
abstract = {This paper we introducing a new sequence of positive q-integral new Modified q-Szász-Mirakyan Operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on $[0,\infty )$. Weighted statistical approximation theorem, Korovkin-type theorems for fuzzy continuous functions, an estimate for the rate of convergence and some properties are also obtained for these operators.},
author = {PATHAK, Ramesh P., SAHOO, Shiv Kumar},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {q-analogue Baskakov operators; q-Durrmeyer operators; rate of convergence; weighted approximation},
language = {eng},
number = {2},
pages = {71-82},
publisher = {Palacký University Olomouc},
title = {Some Applications of new Modified q-Szász–Mirakyan Operators},
url = {http://eudml.org/doc/276092},
volume = {54},
year = {2015},
}

TY - JOUR
AU - PATHAK, Ramesh P.
AU - SAHOO, Shiv Kumar
TI - Some Applications of new Modified q-Szász–Mirakyan Operators
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 2
SP - 71
EP - 82
AB - This paper we introducing a new sequence of positive q-integral new Modified q-Szász-Mirakyan Operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on $[0,\infty )$. Weighted statistical approximation theorem, Korovkin-type theorems for fuzzy continuous functions, an estimate for the rate of convergence and some properties are also obtained for these operators.
LA - eng
KW - q-analogue Baskakov operators; q-Durrmeyer operators; rate of convergence; weighted approximation
UR - http://eudml.org/doc/276092
ER -

References

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