Some new bounds for Simpson's rule involving special functions via harmonic h-convexity


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.


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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


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