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Hermite-Hadamard and Simpson Type Inequalities for Differentiable P -GA-Functions

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  • İmdat İşcan

Abstract

The author introduces the concept of the -GA-functions, gives Hermite-Hadamard's inequalities for -GA-functions, and defines a new identity. By using this identity, the author obtains new estimates on generalization of Hadamard and Simpson type inequalities for -GA-functions. Some applications to special means of real numbers are also given.

Suggested Citation

  • İmdat İşcan, 2014. "Hermite-Hadamard and Simpson Type Inequalities for Differentiable P -GA-Functions," International Journal of Analysis, Hindawi, vol. 2014, pages 1-6, May.
    • Handle: RePEc:hin:ijanal:125439
    DOI: 10.1155/2014/125439
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    Cited by:

    1. Muhammad Tariq & Soubhagya Kumar Sahoo & Sotiris K. Ntouyas & Omar Mutab Alsalami & Asif Ali Shaikh & Kamsing Nonlaopon, 2022. "Some New Mathematical Integral Inequalities Pertaining to Generalized Harmonic Convexity with Applications," Mathematics, MDPI, vol. 10(18), pages 1-21, September.
    2. Muhammad Amer Latif, 2023. "Some Companions of Fejér Type Inequalities Using GA-Convex Functions," Mathematics, MDPI, vol. 11(2), pages 1-19, January.

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