%0 Journal Article %T q-Durrmeyer operators based on Pólya distribution %A Gupta, Vijay %A Rassias, Themistocles M. %A Sharma, Honey %J Journal of Nonlinear Sciences and Applications %D 2016 %V 9 %N 4 %@ ISSN 2008-1901 %F Gupta2016 %X We introduce a q analogue of Durrmeyer type modification of Bernstein operators based on Pólya distributions. We study the ordinary approximation properties of operators using modulus of continuity and Peetre K-functional of second order. Further, we establish the weighted approximation properties for these operators. %9 journal article %R 10.22436/jnsa.009.04.08 %U http://dx.doi.org/10.22436/jnsa.009.04.08 %P 1497--1504 %0 Book %T Applications of q Calculus in Operator Theory %A A. Aral %A V. Gupta %A R. P. Agarwal %D 2013 %I Springer %C New York %F Aral2013 %0 Journal Article %T Approximation properties of two-dimensional q-Bernstein-Chlodowsky-Durrmeyer operators %A I. Büyükyazıcı %A H. Sharma %J Numer. Funct. Anal. Optim. %D 2012 %V 33 %F Büyükyazıcı2012 %0 Book %T Constructive Approximation %A R. A. De Vore %A G. G. Lorentz %D 1993 %I Springer-Verlag %C Berlin %F Vore1993 %0 Book %T Moduli of Smoothness %A Z. Ditzian %A V. Totik %D 1987 %I Springer-Verlag %C New York %F Ditzian1987 %0 Journal Article %T Approximation by q-Durrmeyer operators %A Z. Finta %A V. Gupta %J J. Appl. Math. Comput. %D 2009 %V 29 %F Finta2009 %0 Journal Article %T Some approximation properties of q-Durrmeyer operators %A V. Gupta %J Appl. Math. Comput. %D 2008 %V 197 %F Gupta2008 %0 Journal Article %T On certain q-Durrmeyer type operators %A V. Gupta %A Z. Finta %J Appl. Math. Comput. %D 2009 %V 209 %F Gupta2009 %0 Journal Article %T The rate of convergence of q-Durrmeyer operators for 0 < q < 1 %A V. Gupta %A W. Heping %J Math. Methods Appl. Sci. %D 2008 %V 31 %F Gupta2008 %0 Journal Article %T Lupaş-Durrmeyer operators based on Pólya distribution %A V. Gupta %A T. M. Rassias %J Banach J. Math. Anal. %D 2014 %V 8 %F Gupta2014 %0 Journal Article %T Recurrence formula and better approximation for q-Durrmeyer Operators %A V. Gupta %A H. Sharma %J Lobachevskii J. Math. %D 2011 %V 32 %F Gupta2011 %0 Journal Article %T Properties of q-analogue of Beta operator %A V. Gupta %A H. Sharma %A T. Kim %A S. Lee %J Adv. Difference Equ. %D 2012 %V 2012 %F Gupta2012 %0 Journal Article %T A q-analogue of the Bernstein operator %A A. Lupaş %J Seminar on Numerical and Statistical Calculus, Cluj-Napoca %D 1987 %V 9 %F Lupaş 1987 %0 Journal Article %T Approximation properties for generalized q-Bernstein polynomials %A G. Nowak %J J. Math. Anal. Appl. %D 2009 %V 350 %F Nowak2009 %0 Journal Article %T The rate of pointwise approximation of possitive linear operators based on q-integer %A G. Nowak %A V. Gupta %J Ukrainian Math. J. %D 2011 %V 63 %F Nowak2011 %0 Journal Article %T Bernstein polynomials based on the q-integers %A G. M. Phillips %J Ann. Numer. Math. %D 1997 %V 4 %F Phillips1997 %0 Journal Article %T Approximation of functions by a new class of linear polynomial operators %A D. D. Stancu %J Rev. Roumaine Math. Pures Appl. %D 1968 %V 13 %F Stancu1968