Simpson's integral inequalities for twice differentiable convex functions
type: Item
instance of: scholarly article
title: Simpson's integral inequalities for twice differentiable convex functions
zbMATH Open document ID: 1459.26039
DOI: 10.1155/2020/1936461
author: Miguel Vivas-Cortez
author: Thabet Abdeljawad
author: Pshtiwan Othman Mohammed
author: Yenny Rangel-Oliveros
published in: Mathematical Problems in Engineering
publication date: 2020-07-13T00:00:00Z
review text: Summary: 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 \(\varphi \)-convex and \(\varphi \)-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.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 7219917
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1936461
OpenAlex ID: W3037530917
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description: scientific article; zbMATH DE number 7219917