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On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications

Author

Listed:
  • Dongming Nie

    (School of Common Courses, Anhui Xinhua University, Hefei 230088, China)

  • Saima Rashid

    (Department of Mathematics, Govt. College, University, Faisalabad 38000, Pakistan)

  • Ahmet Ocak Akdemir

    (Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Çeçen University, Agri 04100, Turkey)

  • Dumitru Baleanu

    (Department of Mathematics, Cankaya University, Ankara 06530, Turkey
    Institute of Space Sciences, Magurele-Bucharest R 76900, Romania)

  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
    School of Mathematics, Southeast University, Nanjing 210096, China)

Abstract

In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite–Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.

Suggested Citation

  • Dongming Nie & Saima Rashid & Ahmet Ocak Akdemir & Dumitru Baleanu & Jia-Bao Liu, 2019. "On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications," Mathematics, MDPI, vol. 7(8), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:727-:d:256401
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