2017FilomatOpen access

Lacunary statistical convergence and strongly lacunary summable functions of order α

H. M. Srivastava, Mikâil Et

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Abstract

The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order α and lacunary statistical convergence of order α of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1,∞). Some relations between lacunary statistical convergence of order α and lacunary strong summability of order β are also given.

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What this paper is about

The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order α and lacunary statistical convergence of order α of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1,∞). Some relations between lacunary statistical convergence of order α and lacunary strong summability of order β are also given.

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OpenAlex reports 53 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order α and lacunary statistical convergence of order α of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1,∞). Some relations between lacunary statistical convergence of order α and lacunary strong summability of order β are also given.

Key concepts: Lacunary function, Mathematics, Order (exchange), Convergence (economics), Pure mathematics, Finance, Economics, Economic growth

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