Some new bounds for Simpson's rule involving special functions via harmonic h-convexity
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Authors
Muhammad Uzair Awan
- Government College University, Faisalabad, Pakistan.
Muhammad Aslam Noor
- Department of Mathematics, King Saud University, Riyadh, Saudi Arabia.
- Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan.
Marcela V. Mihai
- Department scientific-methodical sessions, Romanian Mathematical Society-branch Bucharest, Academy Street no. 14, RO-010014, Bucharest, Romania.
Khalida Inayat Noor
- COMSATS Institute of Information Technology, Islamabad, Pakistan.
Awais Gul Khan
- Government College University, Faisalabad, Pakistan.
Abstract
In this article, we obtain some new bounds for Simpson’s rule via harmonic h-convex functions. We also point out some
new and known special cases which can be deduced from main results of the article. Some applications to special means are
also discussed.
Share and Cite
ISRP Style
Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor, Awais Gul Khan, Some new bounds for Simpson's rule involving special functions via harmonic h-convexity, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1755--1766
AMA Style
Awan Muhammad Uzair, Noor Muhammad Aslam, Mihai Marcela V., Noor Khalida Inayat, Khan Awais Gul, Some new bounds for Simpson's rule involving special functions via harmonic h-convexity. J. Nonlinear Sci. Appl. (2017); 10(4):1755--1766
Chicago/Turabian Style
Awan, Muhammad Uzair, Noor, Muhammad Aslam, Mihai, Marcela V., Noor, Khalida Inayat, Khan, Awais Gul. "Some new bounds for Simpson's rule involving special functions via harmonic h-convexity." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1755--1766
Keywords
- Convex functions
- bounds
- harmonic
- differentiable
- Simpson inequality.
MSC
References
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