2016FilomatOpen access

Convergence theorem, convergence rate and convergence speed for continuous real functions

Prasit Cholamjiak, Suparat Baiya

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Abstract

In this work, we study convergence theorem, convergence rate and convergence speed of a new three-step iterative scheme for continuous functions on an arbitrary interval. We also give numerical examples for comparing with iterations of Mann, Ishikawa, Noor and Kadioglu-Yildirim.

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What this paper is about

In this work, we study convergence theorem, convergence rate and convergence speed of a new three-step iterative scheme for continuous functions on an arbitrary interval. We also give numerical examples for comparing with iterations of Mann, Ishikawa, Noor and Kadioglu-Yildirim.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this work, we study convergence theorem, convergence rate and convergence speed of a new three-step iterative scheme for continuous functions on an arbitrary interval. We also give numerical examples for comparing with iterations of Mann, Ishikawa, Noor and Kadioglu-Yildirim.

Key concepts: Mathematics, Compact convergence, Convergence (economics), Normal convergence, Rate of convergence, Convergence tests, Dominated convergence theorem, Modes of convergence (annotated index)

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