Araştırma Makalesi

Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities

Cilt: 4 Sayı: 1 16 Mayıs 2019
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Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities

Öz

In this study, we studied on the harmonically convexity of functions. Firstly, we obtained some new generalized Hadamard’s type and Ostrowski’s type inequalities for these functions on the real number line. Besides, we generalized the above mentioned inequalities using two-dimensional operator for harmonically convex functions.

Anahtar Kelimeler

Kaynakça

  1. [1] J. Hadamard, Étude sur les propriétés des fonctions entières et en particulier d.une function considerée par Riemann, J. Math Pures Appl., 58 (1893), 171-215.
  2. [2] M.W. Alomari, A generalization of Hermite–Hadamard’s inequality, Kragujevac J. Math., 41 (2) (2017), 313-328.
  3. [3] S.S. Dragomir, On Hadamards inequality for convex functions on the coordinates in a rectangle from the plane, Taiwanese J. Math., 4 (2001), 775–788.
  4. [4] E.R. Mwaeze, Generalized Hermite–Hadamard’s inequality for functions convex on the coordinates. Applied Mathematics E-Notes, 18 (2018), 275-283.
  5. [5] S.S. Dragomir, Two Mappings in Connection to Hadamard’s Inequalities, Journal of Mathematıcal Analysis and Applications 167 (1992), 49-56.
  6. [6] G.S. Yang, M.C Hong, A note on Hadamard’s inequality, Tamkang J. Math. 28(1) (1997), 33–37.
  7. [7] X. Gao, A Note on the Hermite–Hadamard Inequality, Journal Of Mathematical Inequalities, 4(4) (2010), 587–591.
  8. [8] İ. İşcan, Hermite-Hadamard Inequalities for Harmonically Convex Functions. Hacet. J. Math. Stat. 43 (6) (2014), 935-942.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

16 Mayıs 2019

Gönderilme Tarihi

12 Mart 2019

Kabul Tarihi

25 Nisan 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 4 Sayı: 1

Kaynak Göster

APA
Yalçın, F. B., & Okur, N. (2019). Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities. Turkish Journal of Science, 4(1), 30-38. https://izlik.org/JA57LF23KP
AMA
1.Yalçın FB, Okur N. Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities. TJOS. 2019;4(1):30-38. https://izlik.org/JA57LF23KP
Chicago
Yalçın, Fatma Buğlem, ve Nurgül Okur. 2019. “Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities”. Turkish Journal of Science 4 (1): 30-38. https://izlik.org/JA57LF23KP.
EndNote
Yalçın FB, Okur N (01 Mayıs 2019) Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities. Turkish Journal of Science 4 1 30–38.
IEEE
[1]F. B. Yalçın ve N. Okur, “Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities”, TJOS, c. 4, sy 1, ss. 30–38, May. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA57LF23KP
ISNAD
Yalçın, Fatma Buğlem - Okur, Nurgül. “Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities”. Turkish Journal of Science 4/1 (01 Mayıs 2019): 30-38. https://izlik.org/JA57LF23KP.
JAMA
1.Yalçın FB, Okur N. Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities. TJOS. 2019;4:30–38.
MLA
Yalçın, Fatma Buğlem, ve Nurgül Okur. “Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities”. Turkish Journal of Science, c. 4, sy 1, Mayıs 2019, ss. 30-38, https://izlik.org/JA57LF23KP.
Vancouver
1.Fatma Buğlem Yalçın, Nurgül Okur. Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities. TJOS [Internet]. 01 Mayıs 2019;4(1):30-8. Erişim adresi: https://izlik.org/JA57LF23KP