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New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions

Cilt: 27 Sayı: 1 25 Nisan 2022
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New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions

Öz

In this paper, a new type of convex function called n-polynomial exponential type GA-convex functions is introduced. Some algebraic properties of these introduced functions are determined and the new Hermite-Hadamard type inequalities are proved for n-polynomial exponential type convex functions.

Anahtar Kelimeler

GA-convexity, n-polynomial convexity, Integral inequality

Kaynakça

  1. Awan, M. U., Akhtar, N., Iftikhar, S., Noor, M. A., & Chu, Y. M. (2020a). New Hermite-Hadamard type inequalities for n-polynomial harmonically convex functions. In Journal of Inequalities and Applications, 125. doi: 10.1186/s13660-020-02393-x
  2. Awan, M. U., Noor, M. A., Safdar, F., Islam, A., Mihai, M. V., & Noor, K. I. (2020b). Hermite-Hadamard type inequalities with applications. Miskolc Mathematical Notes, 21(2), 593-614.
  3. Budak, H., & Özçelik, K. (2020). On Hermite-Hadamard type inequalities for multiplicative fractional integrals. Miskolc Mathematical Notes, 21(1), 91-99.
  4. Butt, S. I., Kashuri, A., Tariq, M., Nasir, J., Aslam, A., & Gao, W. (2020a). Hermite-Hadamard type inequalities n–polynomial exponential type convexity and their applications. Advances in Difference Equations, 508.
  5. Butt, S. I., Kashuri, A., Tariq, M., Nasir, J., Aslam, A., & Gao, W. (2020b). n–polynomial exponential type p–convex function with some related inequalities and their applications. Heliyon, 6(11).
  6. Chen, S. B., Rashid, S., Noor, M. A., Hammouch, Z., & Chu, Y. M. (2020). New fractional approaches for n-polynomial p-convexity with applications in special function theory. Advances in Difference Equations, 543.
  7. El-Marouf, S. A. A. (2018). Generalization of Hilbert-Hardy integral inequalities. Kuwait Journal of Science, 45(1), 7-19.
  8. Gao, W., Kashuri, A., Butt, S. I., Tariq, M., Aslam, A., & Nadeem, M. (2020). New inequalities via n–polynomial harmonically exponential type p–convex functions. AIMS Mathematics, 5(6), 6856-6873.
  9. İşcan, İ., & Turhan, S. (2016). Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via fractional integral. Moroccon Journal of Pure and Applied Analysis, 2(1), 34-46.
  10. İşcan, İ. (2020). Jensen–Mercer inequality for GA-convex functions and some related inequalities. Journal of Inequalities and Applications, 212(1).

Kaynak Göster

APA
Demirel, A. K. (2022). New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 27(1), 181-193. https://doi.org/10.53433/yyufbed.1064363
AMA
1.Demirel AK. New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions. YYUFBED. 2022;27(1):181-193. doi:10.53433/yyufbed.1064363
Chicago
Demirel, Ayşe Kübra. 2022. “New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 27 (1): 181-93. https://doi.org/10.53433/yyufbed.1064363.
EndNote
Demirel AK (01 Nisan 2022) New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 27 1 181–193.
IEEE
[1]A. K. Demirel, “New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions”, YYUFBED, c. 27, sy 1, ss. 181–193, Nis. 2022, doi: 10.53433/yyufbed.1064363.
ISNAD
Demirel, Ayşe Kübra. “New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 27/1 (01 Nisan 2022): 181-193. https://doi.org/10.53433/yyufbed.1064363.
JAMA
1.Demirel AK. New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions. YYUFBED. 2022;27:181–193.
MLA
Demirel, Ayşe Kübra. “New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 27, sy 1, Nisan 2022, ss. 181-93, doi:10.53433/yyufbed.1064363.
Vancouver
1.Ayşe Kübra Demirel. New Integral Inequalities for 𝒏-polynomial Exponential Type GA-Convex Functions. YYUFBED. 01 Nisan 2022;27(1):181-93. doi:10.53433/yyufbed.1064363