EN
Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions
Abstract
The author introduces the concept of harmonically (α, m)-convex functions and establishes some Hermite-Hadamard type inequalities of these
classes of functions.
Keywords
References
- Abramowitz M. and Stegun I.A. (Eds.) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965).
- Bakula, M.K., Ozdemir, M. E. and Pecaric, J. Hadamard type inequalities for m-convex and (α, m)-convex functions, J. Inequal. Pure Appl. Math. 9 (4), Article 96, p. 12, 2008.
- Hudzik, H. and Maligranda, L. Some remarks on s-convex functions, Aequationes Math. 48, 100-111, 1994.
- İşcan, İ. A new generalization of some integral inequalities for (α, m)-convex functions, Mathematical Sciences 7 (22), 1-8, 2013.
- İşcan, İ. New estimates on generalization of some integral inequalities for (α, m)-convex functions, Contemp. Anal. Appl. Math. 1 (2), 253-264, 2013.
- İşcan, İ. Hermite-Hadamard type inequalities for functions whose derivatives are (α, m)- convex, International Journal of Engineering and Applied sciences 2 (3), 69-78, 2013.
- İşcan, İ. Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat. 43(6), 935-942, 2014.
- Miheşan, V. G. A generalization of the convexity, Seminer on Functional Equations, Approximation and Convexity, Cluj-Napoca, Romania,1993.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
April 1, 2016
Submission Date
May 23, 2013
Acceptance Date
August 6, 2014
Published in Issue
Year 2016 Volume: 45 Number: 2
APA
İşcan, İ. (2016). Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions. Hacettepe Journal of Mathematics and Statistics, 45(2), 381-390. https://izlik.org/JA57MN43JL
AMA
1.İşcan İ. Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions. Hacettepe Journal of Mathematics and Statistics. 2016;45(2):381-390. https://izlik.org/JA57MN43JL
Chicago
İşcan, İmdat. 2016. “Hermite-Hadamard Type Inequalities for Harmonically (α, M)-Convex Functions”. Hacettepe Journal of Mathematics and Statistics 45 (2): 381-90. https://izlik.org/JA57MN43JL.
EndNote
İşcan İ (April 1, 2016) Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions. Hacettepe Journal of Mathematics and Statistics 45 2 381–390.
IEEE
[1]İ. İşcan, “Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 2, pp. 381–390, Apr. 2016, [Online]. Available: https://izlik.org/JA57MN43JL
ISNAD
İşcan, İmdat. “Hermite-Hadamard Type Inequalities for Harmonically (α, M)-Convex Functions”. Hacettepe Journal of Mathematics and Statistics 45/2 (April 1, 2016): 381-390. https://izlik.org/JA57MN43JL.
JAMA
1.İşcan İ. Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions. Hacettepe Journal of Mathematics and Statistics. 2016;45:381–390.
MLA
İşcan, İmdat. “Hermite-Hadamard Type Inequalities for Harmonically (α, M)-Convex Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 2, Apr. 2016, pp. 381-90, https://izlik.org/JA57MN43JL.
Vancouver
1.İmdat İşcan. Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Apr. 1;45(2):381-90. Available from: https://izlik.org/JA57MN43JL