Araştırma Makalesi

New General Inequalities For Exponential Type Convex Function

Cilt: 8 Sayı: 1 3 Mayıs 2023
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New General Inequalities For Exponential Type Convex Function

Abstract

In this paper, we introduce the concept of an exponential type convex function. We establish new integral inequalities of the Hermite-Hadamard type by using the Power-Mean and Hölder Inequalities. Additionally, we give the Riemann-Liouville fractional integrals definitions. We use these Riemann-Liouville fractional integrals to establish a new integral inequality for exponential type convex function.

Keywords

Kaynakça

  1. Alomari M.W., Dragomir S.S. and Kirmaci U.S., Generalizations of the Hermite-Hadamard type inequalities for functions whose derivatives are s-convex, Acta Commen. Uni. Tartu. Math., 17 (2), 2013.
  2. Kadakal M., İşçan İ., Exponential Type Convexity and Some Related Inequalities. Journal of Inequalities and Application,
  3. Özdemir M.E. and Kırmacı U. S. Two new theorem on mappings uniformly continuous and convex with applications to quadrature rules and means, Appl. Math. Comp., 2003, 143: 269--274.
  4. Hadamard J.: Êtude sur les propriêtês des fonctions entiêres en particullier d'une fonction considêrêê par Riemann. J. Math. Pures Appl. 58, 171-215 (1893)
  5. Özdemir, M.E., Bayraktar, B., Butt. S.I. and Akdemir, A.O., Some New Hermite-Hadamard type inequalities Via Non-Conformable Fractional Integrals, Turkish J. Ineq., 5 (2) (2021), 48 --60.
  6. Set, E., Akdemir, A.O., Karaoğlan, A., Abdeljawad, T. and Shatanawi, W., On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators, Axioms, 10(3)(2021), 223.
  7. Özdemir, M. E., New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function, Turkish Jour. Sci., 6 (1)(2021), 1-5.
  8. Ekinci, A., Akdemir, A.O. and Özdemir, M.E., Integral Inequalities for Different Kinds of Convexity via Classical Inequalities, Turkish Jour. Sci, 5 (3)(2020), 305-313.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

3 Mayıs 2023

Gönderilme Tarihi

27 Ağustos 2022

Kabul Tarihi

14 Nisan 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 8 Sayı: 1

Kaynak Göster

APA
Yıldız, Ç., Bakan, E., & Dönmez, H. (2023). New General Inequalities For Exponential Type Convex Function. Turkish Journal of Science, 8(1), 11-18. https://izlik.org/JA32FT63BD
AMA
1.Yıldız Ç, Bakan E, Dönmez H. New General Inequalities For Exponential Type Convex Function. TJOS. 2023;8(1):11-18. https://izlik.org/JA32FT63BD
Chicago
Yıldız, Çetin, Emre Bakan, ve Hüseyin Dönmez. 2023. “New General Inequalities For Exponential Type Convex Function”. Turkish Journal of Science 8 (1): 11-18. https://izlik.org/JA32FT63BD.
EndNote
Yıldız Ç, Bakan E, Dönmez H (01 Mayıs 2023) New General Inequalities For Exponential Type Convex Function. Turkish Journal of Science 8 1 11–18.
IEEE
[1]Ç. Yıldız, E. Bakan, ve H. Dönmez, “New General Inequalities For Exponential Type Convex Function”, TJOS, c. 8, sy 1, ss. 11–18, May. 2023, [çevrimiçi]. Erişim adresi: https://izlik.org/JA32FT63BD
ISNAD
Yıldız, Çetin - Bakan, Emre - Dönmez, Hüseyin. “New General Inequalities For Exponential Type Convex Function”. Turkish Journal of Science 8/1 (01 Mayıs 2023): 11-18. https://izlik.org/JA32FT63BD.
JAMA
1.Yıldız Ç, Bakan E, Dönmez H. New General Inequalities For Exponential Type Convex Function. TJOS. 2023;8:11–18.
MLA
Yıldız, Çetin, vd. “New General Inequalities For Exponential Type Convex Function”. Turkish Journal of Science, c. 8, sy 1, Mayıs 2023, ss. 11-18, https://izlik.org/JA32FT63BD.
Vancouver
1.Çetin Yıldız, Emre Bakan, Hüseyin Dönmez. New General Inequalities For Exponential Type Convex Function. TJOS [Internet]. 01 Mayıs 2023;8(1):11-8. Erişim adresi: https://izlik.org/JA32FT63BD