Simultaneous approximation by Szász–Mirakjan–Durrmeyer-type operators

Local and global results for modified Szász–Mirakjan operators

“…Mishra et al . introduced Szász–Mirakjan–Durrmeyer‐type generalization given by where is an increasing sequence of positive real numbers, b n → ∞ as n → ∞ , b 1 ≥1 and studied the simultaneous approximation properties of the operators . References contain some more work in this direction.…”

“…1 as n ! 1, b 1 1 and studied the simultaneous approximation properties of the operators (1). References [2][3][4] contain some more work in this direction.…”

“…where s n,k 's is as given by (5). Operators in (1) are generalization of the operators (6) by means of the introduction of sequence .b n / 1 1 for n. This introduction of sequence .b n / 1 1 is very natural, and it is shown in this paper by introducing it on operators (4) and considering the operators, denoted by S n , defined as follows:…”

Simultaneous approximation by Szász–Mirakjan–Stancu–Durrmeyer type operators

“…Acar et al [1], Bardaro and Mantellini [2], Gairola et al [6], López-Moreno [9], Mishra et al [11][12][13][14][15][16][17], Patel and Mishra [18], Sun [21], Wafi et al [23] and many others studied approximation properties of operators given above, their modifications and generalizations. In this paper we study simultaneous approximation of the summation-integral type of modification of the type (1.7) with Stancu (1.3) type terms, which we call Szász-Mirakjan-Stancu-Durrmeyer type operators.…”

A summation‐integral type modification of Szász–Mirakjan operators

“…The operators, their modifications and generalizations are studied extensively for the properties like global approximation in polynomial and exponential weight spaces, uniform approximation, simultaneous approximation. We can mention some important studies of this type , , , , , ). There are summation integral type modification of operators of the form (, like appeared in literature .…”