TY - JOUR
ID - 49477
TI - Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Kumar, Alok
AD - Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar-
249411, Uttarakhand, India.
Y1 - 2017
PY - 2017
VL - 3
IS - 2
SP - 147
EP - 159
KW - Srivastava-Gupta operators
KW - Modulus of continuity
KW - Rate of convergence
KW - Weighted approximation
KW - Voronovskaja type asymptotic formula
DO - 10.22034/kjm.2017.49477
N2 - In the present paper, we introduce a Stancu type generalization of generalized Srivastava-Gupta operators based on certain parameter. We obtain the moments of the operators and then prove the basic convergence theorem. Next, the Voronovskaja type asymptotic formula and some direct results for the above operators are discussed. Also, weighted approximation and rate of convergence by these operators in terms of modulus of continuity are studied. Then, we obtain point-wise estimates using the Lipschitz type maximal function. Lastly, we propose a King type modification of these operators to obtain better estimates.
UR - http://www.kjm-math.org/article_49477.html
L1 - http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdf
ER -