본문 바로가기
KERD
논문KCI 등재

FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FOR n-TIMES r-CONVEX FUNCTIONS

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we establish some Hermite-Hadamard type inequalities for function whose nth derivatives are r-convex via Riemann- Liouville fractional integral operator.

Abstract

In this paper, we establish some Hermite-Hadamard type inequalities for function whose nth derivatives are r-convex via Riemann- Liouville fractional integral operator.

참고문헌 (10)

  1. S. S. Dragomir, "Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula", Appl. Math. Lett., 11(5), pp.91~95 (1998)
  2. A. A. Kilbas, "Theory and applications of fractional differential equations", North-Holland Mathematics Studies, 204 (2006)
  3. K. S. Miller, "An introduction to the fractional calculus and fractional differential equations. A Wiley-lnterscience Publication" (1993), John Wiley & Sons, Inc.
  4. D. S. Mitrinovic, "Classical and new inequalities in analysis. Mathematics and its Applications (East European Series), 61" (1993), Kluwer Academic Publishers Group
  5. C. E. M. Pearce, "Stolarsky means and Hadamard's inequality", J. Math. Anal. Appl., 220(1), pp.99~109 (1998)[DOI]
  6. C. E. M. Pearce, "Inequalities for differentiable mappings with application to special means and quadrature formula", Appl. Math. Lett., 13(2), pp.51~55 (2000)
  7. J. E. Pecaric, "Convex functions, partial orderings, and statistical applications", Mathematics in Science and Engineering, 187 (1992)
  8. M. Z. Sarikaya, "Hermite{Hadamard's inequalities for fractional integrals and related fractional inequalities", Math. Comput. Modelling, 57(9-10), pp.2403~2407 (2013)[DOI]
  9. J. Wang, "Hermite-Hadamard-type inequalities for r-convex functions based on the use of Riemann-Liouville fractional integrals", Translation of Ukrain. Mat. Zh., 65(2), pp.175~191 (2013)
  10. S.-H. Wang, "Hermite-Hadamard type inequalities for s-convex functions via Riemann-Liouville fractional integrals", J. Comput. Anal. Appl., 22(6), pp.1124~1134 (2017)

관련 논문AI추천

이 간행물의 다른 논문 (12건)