Generalized Bernstein-Chlodowsky Polynomials

A Voronovskaya-type formula for SMK operators via statistical convergence

“…These operators with this structure is similar to the Bernstein-Chlodowsky operators given in [13]. Assume that A = (a jn ) be a non-negative regular summability matrix.…”

Approximation by a composition of Chlodowsky operators and Százs–Durrmeyer operators on weighted spaces

“…Theorem B [12]. Let (a n ) be a sequence with lim n→∞ a n = ∞ and {V n } be a sequence of linear positive operators mapping…”

“…Now from (7), (13) and (14) n b n {Z n (f ; x) − f (x)} = n b n b n n f (x) + 1 2 n b n 2b n x n − x 2 n + 2b 2 n n 2 f (x) + n b n Z n ((t − x) 2 η(t − x); x).…”

“…Ispir [19] studied modified Baskakov operators on weighted spaces by means of Korovkin's theorems, proved by Gadjiev. We can refer the interested readers to other studies which investigated weight approximation problems for well-known linear positive operators (see, e.g., [3,7,12,13,16,20,24]) and for general positive linear operators (see, e.g., [4,8,10,11]) on infinite intervals.…”

A new approach to nonlinear singular integral operators depending on three parameters

“…For some studies concerning double singular integral operators in several settings, we refer the reader to [26][27][28][29][30]. On the other hand, for some other important works related to approximation by linear and nonlinear operators in several function spaces, we refer the reader to [31][32][33][34][35][36][37].…”