INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS

Volume: 10 Number: 1 January 1, 2020
  • M. A. Noor
  • K. I. Noor
  • S. Iftikhar
EN

INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS

Abstract

The main aim of this paper is to consider a new class of harmonic convex functions with respect to an arbitrary non-negative function, which is called strongly p; h -harmonic convex function. We establish Hermite-Hadamard like integral inequal- ities via these new classes of convex functions. Some special cases are discussed, which can be obtained from our main results. The ideas and techniques of this paper may stimulate further research.

Keywords

References

  1. Anderson, G. D., Vamanamurthy, M. K. and Vuorinen, M., (2007), Generalized convexity and in- equalities, J. Math. Anal. Appl., 335, pp. 1294-1308.
  2. Angulo, H., Gimenez, J., Moros, A. M. and Nikodem, K., (2011), On strongly h-convex functions, Ann. Funct. Anal., 2, pp. 87-93.
  3. Cristescu G. and Lupsa, L., (2002), Non-connected Convexities and Applications, Kluwer Academic Publisher, Dordrechet, Holland.
  4. Hermite, C., (1883), Sur deux limites d’une intgrale dfinie. Mathesis, 3, 82.
  5. Hadamard, J., (1893), Etude sur les proprietes des fonctions entieres e.t en particulier dune fonction consideree par Riemann. J. Math. Pure Appl., 58, pp. 171-215.
  6. Iscan, I., (2014), Hermite-Hadamard type inequalities for harmonically convex functions. Hacett, J. Math. Stats., 43(6), pp. 935-942.
  7. Merentes, N. and Nikodem, K., (2010), Remarks on strongly convex functions, Aequationes Math. 80(1-2), pp. 193-199.
  8. Nikodem, K. and Pales, Z., (2011), Characterizations of inner product spaces by strongly convex functions, Banach J. Math. Anal. 5(1), pp. 8387.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. A. Noor This is me

K. I. Noor This is me

S. Iftikhar This is me

Publication Date

January 1, 2020

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2020 Volume: 10 Number: 1

APA
Noor, M. A., Noor, K. I., & Iftikhar, S. (2020). INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, 10(1), 81-94. https://izlik.org/JA35LN45DU
AMA
1.Noor MA, Noor KI, Iftikhar S. INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS. JAEM. 2020;10(1):81-94. https://izlik.org/JA35LN45DU
Chicago
Noor, M. A., K. I. Noor, and S. Iftikhar. 2020. “INEQUALITIES VIA STRONGLY P; H -HARMONIC CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 10 (1): 81-94. https://izlik.org/JA35LN45DU.
EndNote
Noor MA, Noor KI, Iftikhar S (January 1, 2020) INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics 10 1 81–94.
IEEE
[1]M. A. Noor, K. I. Noor, and S. Iftikhar, “INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS”, JAEM, vol. 10, no. 1, pp. 81–94, Jan. 2020, [Online]. Available: https://izlik.org/JA35LN45DU
ISNAD
Noor, M. A. - Noor, K. I. - Iftikhar, S. “INEQUALITIES VIA STRONGLY P; H -HARMONIC CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 10/1 (January 1, 2020): 81-94. https://izlik.org/JA35LN45DU.
JAMA
1.Noor MA, Noor KI, Iftikhar S. INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS. JAEM. 2020;10:81–94.
MLA
Noor, M. A., et al. “INEQUALITIES VIA STRONGLY P; H -HARMONIC CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 1, Jan. 2020, pp. 81-94, https://izlik.org/JA35LN45DU.
Vancouver
1.M. A. Noor, K. I. Noor, S. Iftikhar. INEQUALITIES VIA STRONGLY p; h -HARMONIC CONVEX FUNCTIONS. JAEM [Internet]. 2020 Jan. 1;10(1):81-94. Available from: https://izlik.org/JA35LN45DU