Simpson's Integral Inequalities for Twice Differentiable Convex Functions

Miguel Vivas-Cortez; Thabet Abdeljawad; Pshtiwan Othman Mohammed; Yenny Rangel-Oliveros

doi:10.1155/2020/1936461

Simpson's Integral Inequalities for Twice Differentiable Convex Functions

Miguel Vivas-Cortez
, Thabet Abdeljawad^*
, Pshtiwan Othman Mohammed
, Yenny Rangel-Oliveros

^*Corresponding author for this work

Faculty of Exact and Natural Sciences

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson's integral type based on the ϕ-convex and ϕ-quasiconvex functions in the second derivative sense. In the last sections, some applications on special functions are provided and shown via two figures to demonstrate the explanation of the readers.

Original language	English
Article number	1936461
Journal	Mathematical Problems in Engineering
Volume	2020
DOIs	https://doi.org/10.1155/2020/1936461
State	Published - 27 Jun 2020

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© 2020 Miguel Vivas-Cortez et al.

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abstract = "Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson's integral type based on the ϕ-convex and ϕ-quasiconvex functions in the second derivative sense. In the last sections, some applications on special functions are provided and shown via two figures to demonstrate the explanation of the readers.",

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AB - Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson's integral type based on the ϕ-convex and ϕ-quasiconvex functions in the second derivative sense. In the last sections, some applications on special functions are provided and shown via two figures to demonstrate the explanation of the readers.

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Simpson's Integral Inequalities for Twice Differentiable Convex Functions

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