ScholarLens Back to search
2020•Mathematical Methods in the Applied SciencesRequires access

On error estimations of Simpson's second type quadrature formula

Samet Erden, Sabah Iftikhar, Poom Kumam, Phatiphat Thounthong

Open publisher page 18 citations

Abstract

In this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to Lp[γ, δ] with (p < 1 ≤ ∞) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented.

About this research paper

What this paper is about

In this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to Lp[γ, δ] with (p < 1 ≤ ∞) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented.

Why it matters

OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to Lp[γ, δ] with (p < 1 ≤ ∞) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented.

Key concepts: Mathematics, Quadrature (astronomy), Bounded function, Bounded variation, Type (biology), Numerical integration, Applied mathematics, Mathematical analysis

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On error estimations of Simpson's second type quadrature formula — Research Paper | ScholarLens