Approximation Properties of Some Modified Szász–Mirakjan–Kantorovich Operators
نویسندگان
چکیده
The present article deals with approximation results obtained by means of the Lipschitz maximal function, Ditzian–Totik modulus smoothness, and a Lipschitz-type space having two parameters for summation-integral type operators defined Mishra Yadav [22]. Further, we determine rate convergence in terms derivative bounded variation. To estimate quantitative operators, establish Voronovskaya-type Grüss-type theorems. Moreover, examples are given graphical representation to support main results.
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولSome Approximation Properties for Modified Baskakov Type Operators
We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity. We have applied the Steklov mean as a tool for the linear approximating method. 2000 Mathematics Subject Cla...
متن کاملGlobal Approximation Properties of Modified Smk Operators
In this paper, introducing a general modification of the classical SzászMirakjan-Kantorovich (SMK) operators, we study their global approximation behavior. Some special cases are also presented.
متن کاملStatistical approximation properties of modified q-Stancu-Beta operators
In this paper we define the modified q-Stancu-Beta operators and study the weighted statistical approximation by these operators with the help of the Korovkin type approximation theorem. We also establish the rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function. Our results show that rates of convergence of our operators are at least as ...
متن کاملOn simultaneous approximation for some modified Bernstein-type operators
for n ≥ α, where α, β are integers satisfying α ≥ β ≥ 0 and In ⊆ {0,1,2, . . . ,n} is a certain index set. For α = β = 0, In = {0}, this definition reduces to the BernsteinDurrmeyer operators, which were first studied by Derriennic [3]. Also if α = β = 1, In = {0}, we obtain the recently introduced sequence of Gupta and Maheshwari [4], that is, Mn,1,1(f ,x)≡ Pn(f ,x) which is defined as Pn(f ,x...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerical Analysis and Applications
سال: 2022
ISSN: ['1995-4239', '1995-4247']
DOI: https://doi.org/10.1134/s1995423922020082