Simpson type inequalities and applications
| Autor: | Michael Th. Rassias, Muhammad Zakria Javed, Muhammad Aslam Noor, Muhammad Uzair Awan, Khalida Inayat Noor |
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| Přispěvatelé: | University of Zurich, Rassias, Michael Th |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Type (model theory) 01 natural sciences symbols.namesake Identity (mathematics) 510 Mathematics 2604 Applied Mathematics Order (group theory) Differentiable function 0101 mathematics Mathematics Algebra and Number Theory Applied Mathematics 010102 general mathematics 2603 Analysis Sigma Quadrature (mathematics) 010101 applied mathematics 10123 Institute of Mathematics Special functions Fourier analysis symbols 2608 Geometry and Topology Geometry and Topology Analysis 2602 Algebra and Number Theory |
| DOI: | 10.5167/uzh-221304 |
| Popis: | A new generalized integral identity involving first order differentiable functions is obtained. Using this identity as an auxiliary result, we then obtain some new refinements of Simpson type inequalities using a new class called as strongly (s, m)-convex functions of higher order of $$\sigma >0$$ σ > 0 . We also discuss some interesting applications of the obtained results in the theory of means. In last we present applications of the obtained results in obtaining Simpson-like quadrature formula. |
| Databáze: | OpenAIRE |
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