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On Harmonic Convex Functions and Integral Inequalities

Thesis Info

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Author

Iftikhar, Sabah

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11173/1/Sabah%20Iftikhar_Maths_2018_Comsats_PRR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726797194

Similar


Some new classes of harmonic convex functions will be introduced and investigated. These new classes of harmonic convex functions are harmonic nonconvex functions. Some integral inequalities such as Hermite-Hadamard, Trapezoidal, Simpson and Newton type will be derived for these new classes of harmonic convex functions and their variant forms. Inequalities for coordinated harmonic convex functions via harmonic nonconvex functions will be derived. Some special cases, which can be obtained from the main results will be discussed.
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