2018Georgian Mathematical JournalRequires access

Voronovskaja’s theorem for functions with exponential growth

Gancho Tachev, Vijay Gupta, Ali̇ Aral

Open publisher page 23 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Mathematics, Exponential function, Exponential growth, Exponential type, Interval (graph theory), Shift theorem, Type (biology), Applied mathematics

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