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Better Approaches for n -Times Differentiable Convex Functions

Author

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  • Praveen Agarwal

    (Department of Mathematics, Anand International College of Engineering, Jaipur 303012, Rajasthan, India
    International Center for Basic and Applied Sciences, Jaipur 302029, India
    Department of Mathematics, Harish-Chandra Research Institute, Allahabad 211019, India
    Department of Mathematics, Netaji Subhas University of Technology Dwarka Sector-3, Dwarka, Delhi 110078, India)

  • Mahir Kadakal

    (Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey
    These authors contributed equally to this work.)

  • İmdat İşcan

    (Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun 28200, Turkey
    These authors contributed equally to this work.)

  • Yu-Ming Chu

    (Department of Mathematics, Huzhou University, Huzhou 313000, China
    Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China
    These authors contributed equally to this work.)

Abstract

In this work, by using an integral identity together with the Hölder–İşcan inequality we establish several new inequalities for n -times differentiable convex and concave mappings. Furthermore, various applications for some special means as arithmetic, geometric, and logarithmic are given.

Suggested Citation

  • Praveen Agarwal & Mahir Kadakal & İmdat İşcan & Yu-Ming Chu, 2020. "Better Approaches for n -Times Differentiable Convex Functions," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:950-:d:369488
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    References listed on IDEAS

    as
    1. İmdat İşcan, 2014. "Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions," Journal of Mathematics, Hindawi, vol. 2014, pages 1-10, June.
    2. Tian-Yu Zhang & Ai-Ping Ji & Feng Qi, 2012. "On Integral Inequalities of Hermite-Hadamard Type for s -Geometrically Convex Functions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, September.
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