Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals View Full Text


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Article Info

DATE

2020-09-18

AUTHORS

Dafang Zhao, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak, Mehmet Zeki Sarikaya

ABSTRACT

In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called “interval-valued approximately h-convex functions”. We establish some inequalities of Hermite–Hadamard type for a newly defined class of functions by using generalized fractional integrals. Our new inequalities are the extensions of previously obtained results like (D.F. Zhao et al. in J. Inequal. Appl. 2018(1):302, 2018 and H. Budak et al. in Proc. Am. Math. Soc., 2019). We also discussed some special cases from our main results. More... »

PAGES

222

References to SciGraph publications

  • 2018-11-07. New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2013-11-07. Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2004. Hadamard and Jensen Inequalities for s-Convex Fuzzy Processes in SOFT METHODOLOGY AND RANDOM INFORMATION SYSTEMS
  • 1956-12. Zum Minkowskischen Integralbegriff abgeschlossener Mengen in MATHEMATISCHE ZEITSCHRIFT
  • 1979-12. Calculus for interval functions of a real variable in COMPUTING
  • 2018-09-27. Some inequalities for interval-valued functions on time scales in SOFT COMPUTING
  • 1997-11. Hadamard Inequality and a Refinement of Jensen Inequality for Set—Valued Functions in RESULTS IN MATHEMATICS
  • 2019-05-02. Simpson type integral inequalities for generalized fractional integral in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
  • 2016-11-16. Some integral inequalities for interval-valued functions in COMPUTATIONAL AND APPLIED MATHEMATICS
  • 2014-10-16. Ostrowski type inequalities and applications in numerical integration for interval-valued functions in SOFT COMPUTING
  • 2019-10-17. Fractional Hermite–Hadamard type inequalities for interval-valued functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13660-020-02488-5

    DOI

    http://dx.doi.org/10.1186/s13660-020-02488-5

    DIMENSIONS

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