Simpson’s Integral Inequalities for Twice Differentiable Convex Functions

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 seco...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2020; no. 2020; pp. 1 - 15
Main Authors Rangel-Oliveros, Yenny, Mohammed, Pshtiwan Othman, Abdeljawad (Maraaba), T., Vivas-Cortez, Miguel
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
Hindawi Limited
Subjects
Fractional calculus
Inequalities
Inequality
Integrals
Mathematical analysis
Mathematical programming
Ordinary differential equations
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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 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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/1936461