Research Article

INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS

Volume: 4 Number: 1 April 1, 2016
EN

INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS

Abstract

Some inequalities of Hermite-Hadamard type for '-convex functions de ned on real intervals are given.

Keywords

References

  1. [1] M. Alomari and M. Darus, The Hadamard's inequality for s-convex function. Int. J. Math. Anal. (Ruse) 2 (2008), no. 13-16, 639{646.
  2. [2] M. Alomari and M. Darus, Hadamard-type inequalities for s-convex functions. Int. Math. Forum 3 (2008), no. 37-40, 1965{1975.
  3. [3] G. A. Anastassiou, Univariate Ostrowski inequalities, revisited. Monatsh. Math., 135 (2002), no. 3, 175{189.
  4. [4] N. S. Barnett, P. Cerone, S. S. Dragomir, M. R. Pinheiro and A. Sofo, Ostrowski type inequalities for functions whose modulus of the derivatives are convex and applications. In- equality Theory and Applications, Vol. 2 (Chinju/Masan, 2001), 19{32, Nova Sci. Publ., Hauppauge, NY, 2003. Preprint: RGMIA Res. Rep. Coll. 5 (2002), No. 2, Art. 1 [Online http://rgmia.org/papers/v5n2/Paperwapp2q.pdf].
  5. [5] E. F. Beckenbach, Convex functions, Bull. Amer. Math. Soc. 54(1948), 439{460.
  6. [6] M. Bombardelli and S. Varosanec, Properties of h-convex functions related to the Hermite- Hadamard-Fejer inequalities. Comput. Math. Appl. 58 (2009), no. 9, 1869{1877.
  7. [7] W. W. Breckner, Stetigkeitsaussagen fur eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Raumen. (German) Publ. Inst. Math. (Beograd) (N.S.) 23(37) (1978), 13{20.
  8. [8] W. W. Breckner and G. Orban, Continuity properties of rationally s-convex mappings with values in an ordered topological linear space. Universitatea "Babes-Bolyai", Facultatea de Matematica, Cluj-Napoca, 1978. viii+92 pp.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Dragomır, S. S. (2016). INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS. Konuralp Journal of Mathematics, 4(1), 54-67. https://izlik.org/JA35XU37LG
AMA
1.Dragomır SS. INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS. Konuralp J. Math. 2016;4(1):54-67. https://izlik.org/JA35XU37LG
Chicago
Dragomır, S. S. 2016. “INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 4 (1): 54-67. https://izlik.org/JA35XU37LG.
EndNote
Dragomır SS (April 1, 2016) INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS. Konuralp Journal of Mathematics 4 1 54–67.
IEEE
[1]S. S. Dragomır, “INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS”, Konuralp J. Math., vol. 4, no. 1, pp. 54–67, Apr. 2016, [Online]. Available: https://izlik.org/JA35XU37LG
ISNAD
Dragomır, S. S. “INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 54-67. https://izlik.org/JA35XU37LG.
JAMA
1.Dragomır SS. INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS. Konuralp J. Math. 2016;4:54–67.
MLA
Dragomır, S. S. “INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 54-67, https://izlik.org/JA35XU37LG.
Vancouver
1.S. S. Dragomır. INEQUALITIES OF HERMITE-HADAMARD TYPE FOR $\phi$-CONVEX FUNCTIONS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):54-67. Available from: https://izlik.org/JA35XU37LG
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