Research Article

OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS

Volume: 3 Number: 1 April 1, 2015
EN

OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS

Abstract

The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and a variant of Hermite- Hadamard inequality for these classes of functions.

Keywords

References

  1. [1] M. Abramowitz and I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965.
  2. [2] M. Alomari, M. Darus, S. S. Dragomir, and P. Cerone, Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense, Appl. Math. Lett. 23 (1) (2010), 1071-1076.
  3. [3] M. W. Alomari, M. Darus, and U. S. Kirmaci, Some inequalities of Hermite-Hadamard type for s-convex functions, Acta Math. Sci. B31, no.4 (2011), 1643{1652.
  4. [4] M. Avci, H. Kavurmaci and M. Emin  Ozdemir, New inequalities of Hermite{Hadamard type via s-convex functions in the second sense with applications, Appl. Math. Comput. 217 (2011) 5171{5176.
  5. [5] S.S. Dragomir, S. Fitzpatrick, The Hadamard's inequality for s-convex functions in the second sense, Demonstratio Math. 32 (4) (1999), 687{696.
  6. [6] S. Hussain, M. I. Bhatti, and M. Iqbal, Hadamard-type inequalities for s-convex functions I, J. Math., Punjab Univ. 41 (2009), 51{60.
  7. [7] H. Hudzik , L. Maligranda, Some remarks on s-convex functions, Aequationes Math., 48 (1994), 100{111.
  8. [8] İ. İşcan, New estimates on generalization of some integral inequalities for s-convex functions and their applications, Int. J. Pure Appl. Math. 86, No.4 (2013), 727-746.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 1, 2015

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

APA
İşcan, İ. (2015). OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS. Konuralp Journal of Mathematics, 3(1), 63-74. https://izlik.org/JA64UY36PS
AMA
1.İşcan İ. OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS. Konuralp J. Math. 2015;3(1):63-74. https://izlik.org/JA64UY36PS
Chicago
İşcan, İmdat. 2015. “OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY S-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 3 (1): 63-74. https://izlik.org/JA64UY36PS.
EndNote
İşcan İ (April 1, 2015) OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS. Konuralp Journal of Mathematics 3 1 63–74.
IEEE
[1]İ. İşcan, “OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS”, Konuralp J. Math., vol. 3, no. 1, pp. 63–74, Apr. 2015, [Online]. Available: https://izlik.org/JA64UY36PS
ISNAD
İşcan, İmdat. “OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY S-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 3/1 (April 1, 2015): 63-74. https://izlik.org/JA64UY36PS.
JAMA
1.İşcan İ. OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS. Konuralp J. Math. 2015;3:63–74.
MLA
İşcan, İmdat. “OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY S-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics, vol. 3, no. 1, Apr. 2015, pp. 63-74, https://izlik.org/JA64UY36PS.
Vancouver
1.İmdat İşcan. OSTROWSKI TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS. Konuralp J. Math. [Internet]. 2015 Apr. 1;3(1):63-74. Available from: https://izlik.org/JA64UY36PS
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