Araştırma Makalesi

Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions

Cilt: 15 Sayı: 2 31 Ağustos 2022
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Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions

Öz

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, we generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, we obtained a generalization of Ostrowski type integral inequality for two-dimensional preinvex functions. Besides, we derived some new generalized inequalities related to these functions.

Anahtar Kelimeler

Kaynakça

  1. Alomari, M.W. 2017. “A Generalization of Hermite–Hadamard’s Inequality”, Kragujevac Journal of Mathematics, 41(2), 313-328.
  2. Ben-Israel, A. and Mond, B. 1986. “What is Invexity?”, Journal of the Australian Mathematical Society Series B-Applied Mathematics, 28(1), 1-9.
  3. Dragomir, S.S. 2001. “On Hadamards Inequality for Convex Functions on The Coordinates in A Rectangle from The Plane”, Taiwanese Journal of Mathematics, 4, 775–788.
  4. Hadamard, J. 1893. “Étude sur les propriétés des fonctions entières et en particulier d.une function considerée par Riemann”, Journal de Mathématiques Pures et Appliquées, 58, 171-215.
  5. Hanson, M.A. 1981. “On Sufficiency of The Kuhn-Tucker Conditions”, Journal of Mathematical Analysis and Applications, 80, 545-550.
  6. Kashuri, A. and Liko, R. 2017. “Generalizations of Hermite-Hadamard and Ostrowski Type Inequalities for MTm-Preinvex Functions”, Proyecciones Journal of Mathematics, 36(1), 45-80.
  7. Khurshid, Y., Khan, M.A. and Chu, Y.M. 2020. “Ostrowski Type Inequalities Involving Conformable Integrals via Preinvex Functions”, AIP Advances, 10, 055204.
  8. Lai, K.K., Mishra, S.K., Bisht, J. and Hassan, M. 2022. “Hermite–Hadamard Type Inclusions for Interval-Valued Coordinated Preinvex Functions”, Symmetry, 14(4), 771.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Ağustos 2022

Gönderilme Tarihi

31 Ekim 2021

Kabul Tarihi

22 Haziran 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 15 Sayı: 2

Kaynak Göster

APA
Okur, N., & Yalçın, F. B. (2022). Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions. Erzincan University Journal of Science and Technology, 15(2), 448-460. https://doi.org/10.18185/erzifbed.1016111
AMA
1.Okur N, Yalçın FB. Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions. Erzincan University Journal of Science and Technology. 2022;15(2):448-460. doi:10.18185/erzifbed.1016111
Chicago
Okur, Nurgül, ve Fatma Buğlem Yalçın. 2022. “Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions”. Erzincan University Journal of Science and Technology 15 (2): 448-60. https://doi.org/10.18185/erzifbed.1016111.
EndNote
Okur N, Yalçın FB (01 Ağustos 2022) Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions. Erzincan University Journal of Science and Technology 15 2 448–460.
IEEE
[1]N. Okur ve F. B. Yalçın, “Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions”, Erzincan University Journal of Science and Technology, c. 15, sy 2, ss. 448–460, Ağu. 2022, doi: 10.18185/erzifbed.1016111.
ISNAD
Okur, Nurgül - Yalçın, Fatma Buğlem. “Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions”. Erzincan University Journal of Science and Technology 15/2 (01 Ağustos 2022): 448-460. https://doi.org/10.18185/erzifbed.1016111.
JAMA
1.Okur N, Yalçın FB. Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions. Erzincan University Journal of Science and Technology. 2022;15:448–460.
MLA
Okur, Nurgül, ve Fatma Buğlem Yalçın. “Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions”. Erzincan University Journal of Science and Technology, c. 15, sy 2, Ağustos 2022, ss. 448-60, doi:10.18185/erzifbed.1016111.
Vancouver
1.Nurgül Okur, Fatma Buğlem Yalçın. Some New Generalized Inequalities with regard to Two-Dimensional Preinvex Functions. Erzincan University Journal of Science and Technology. 01 Ağustos 2022;15(2):448-60. doi:10.18185/erzifbed.1016111