Geodesic
Some Applications of new Modified q-Szász–Mirakyan Operators
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 71-82 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 41A25, 41A35
Keywords: q-analogue Baskakov operators; q-Durrmeyer operators; rate of convergence; weighted approximation 
@article{AUPO_2015_54_2_a4,
     author = {PATHAK, Ramesh P. and SAHOO, Shiv Kumar},
     title = {Some {Applications} of new {Modified} {q-Sz\'asz{\textendash}Mirakyan} {Operators}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {71--82},
     year = {2015},
     volume = {54},
     number = {2},
     mrnumber = {3469692},
     zbl = {1347.41023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2015_54_2_a4/}
}
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
SP  - 71
EP  - 82
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AUPO_2015_54_2_a4/
LA  - en
ID  - AUPO_2015_54_2_a4
ER  - 
%0 Journal Article
%A PATHAK, Ramesh P.
%A SAHOO, Shiv Kumar
%T Some Applications of new Modified q-Szász–Mirakyan Operators
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2015
%P 71-82
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/AUPO_2015_54_2_a4/
%G en
%F AUPO_2015_54_2_a4
PATHAK, Ramesh P.; SAHOO, Shiv Kumar. Some Applications of new Modified q-Szász–Mirakyan Operators. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 2, pp. 71-82. http://geodesic.mathdoc.fr/item/AUPO_2015_54_2_a4/