Two point trapezoidal like inequalities involving hypergeometric functions | Zendy

Muhammad Uzair Awan | Zendy; Muhammad Aslam Noor | Zendy; Marcela V. Mihai | Zendy; Khalida Inayat Noor | Zendy

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Two point trapezoidal like inequalities involving hypergeometric functions

Author(s) -

Muhammad Uzair Awan,

Muhammad Aslam Noor,

Marcela V. Mihai,

Khalida Inayat Noor

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1708281a

Subject(s) - mathematics , differentiable function , identity (music) , hermite polynomials , hypergeometric function , convex function , hadamard transform , pure mathematics , inequality , type (biology) , point (geometry) , regular polygon , mathematical analysis , geometry , ecology , physics , acoustics , biology

In this paper, we derive a new integral identity for differentiable function. Using this new integral identity as an auxiliary result, we derive some new two point trapezoidal like inequalities for differentiable harmonic h-convex functions. These inequalities can also be viewed as Hermite-Hadamard type inequalities. We also discuss some new special cases which can be deduced from our main results.

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