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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Published in | Mathematical problems in engineering Vol. 2020; no. 2020; pp. 1 - 15 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Cairo, Egypt
Hindawi Publishing Corporation
2020
Hindawi Hindawi Limited |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 1024-123X 1563-5147 |
DOI: | 10.1155/2020/1936461 |