TY - JOUR AU1 - Srivastava, H.ā€‰M. AU2 - Jena, Bidu Bhusan AU3 - Paikray, Susanta Kumar AU4 - Misra, U.ā€‰K. AB - AbstractRecently, the notion of positive linear operatorsby means of basic (or q-) Lagrangepolynomials and š’œ{\mathcal{A}}-statistical convergence was introducedand studied in [M. Mursaleen, A. Khan, H. M. Srivastava and K. S. Nisar,Operators constructed by means of q-Lagrange polynomials and A-statistical approximation,Appl. Math. Comput. 219 2013, 12, 6911ā€“6918]. In our present investigation, we introduce a certain deferredweighted š’œ{\mathcal{A}}-statistical convergence in order to establish someKorovkin-type approximation theorems associated with the functions1, t and t2{t^{2}}defined on a Banach space Cā¢[0,1]{C[0,1]}for asequence of (presumably new) positive linear operators based upon(p,q){(p,q)}-Lagrange polynomials. Furthermore, we investigate thedeferred weighted š’œ{\mathcal{A}}-statistical rates for the same set offunctions with the help of the modulus of continuity and theelements of the Lipschitz class. We also consider a number ofinteresting special cases and illustrative examples in support ofour definitions and of the results whichare presented in this paper. TI - Deferred weighted š’œ-statistical convergence based upon the (p,q)-Lagrange polynomials and its applications to approximation theorems JF - Journal of Applied Analysis DO - 10.1515/jaa-2018-0001 DA - 2018-06-01 UR - https://www.deepdyve.com/lp/de-gruyter/deferred-weighted-statistical-convergence-based-upon-the-p-q-lagrange-zX5VH3Ody0 SP - 1 EP - 16 VL - 24 IS - 1 DP - DeepDyve ER -