Publication: Simpson type inequalities and applications
Simpson type inequalities and applications
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Awan, M. U., Javed, M. Z., Rassias, M. T., Noor, M. A., & Noor, K. I. (2021). Simpson type inequalities and applications. Journal of Analysis, 29, 1403–1419. https://doi.org/10.1007/s41478-021-00319-4
Abstract
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Abstract
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. 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.
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- Awan, Muhammad Uzair
- Javed, Muhammad Zakria
- Rassias, Michael Th
- Noor, Muhammad Aslam
- Noor, Khalida Inayat
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Awan, M. U., Javed, M. Z., Rassias, M. T., Noor, M. A., & Noor, K. I. (2021). Simpson type inequalities and applications. Journal of Analysis, 29, 1403–1419. https://doi.org/10.1007/s41478-021-00319-4
