Voronovskaja’s theorem for functions with exponential growth
Gancho Tachev, Vijay Gupta, Ali̇ Aral
Abstract
Gancho Tachev, Vijay Gupta, Ali̇ Aral
Abstract
Abstract In the present paper we establish a general form of Voronovskaja’s theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szász–Mirakyan and Baskakov-type operators.
OpenAlex reports 23 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Abstract In the present paper we establish a general form of Voronovskaja’s theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szász–Mirakyan and Baskakov-type operators.
Key concepts: Mathematics, Exponential function, Exponential growth, Exponential type, Interval (graph theory), Shift theorem, Type (biology), Applied mathematics