EN
HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS
Öz
In this paper, we consider a new class of convex functions which is called hvarphi-preinvex functions. We prove several Hermite--Hadamard type
inequalities for differentiable hvarphi-preinvex functions via Fractional Integrals. Some special cases are also discussed. Our results
extend and improve the corresponding ones in the literature.
Anahtar Kelimeler
Kaynakça
- Barani, A.; Ghazanfari, A.G.; Dragomir, S.S.: Hermite-Hadamardinequality for functions whose derivatives absolute values are preinvex. J.Inequal. Appl. 2012, 247 (2012)
- Dragomir, S.S.; Pearce, C.E.M.: Selected topics onHermite--Hadamard inequalities and applications. Victoria University (2000)
- Dragomir, S.S.; Pecaric, J.; Persson, L.E.: Some inequalities ofHadamard type. Soochow J. Math. 21, 335--341, (1995)
- \.{I}\c{s}can, \.{I}.: Hermite--Hadamard's inequalities forpreinvex function via fractional integrals and related functionalinequalities, Am. J. Math. Anal. 1 (3) (2013) 33--38.
- Latif, M.A.: Some inequalities for differentiable prequasiinvexfunctions with applications. Konuralp J. Math. 1(2), 17--29 (2013)
- Latif, M.A.; Dragomir, S.S.: Some Hermite-Hadamard typeinequalities for functions whose partial derivatives in absloute value arepreinvex on the co-oordinates. Facta Universitatis (NIS) Ser. Math. Inform.28(3), 257--270, (2013)
- Latif, M.A.; Dragomir, S. S.; Momoniat, E.: Some weightedintegral inequalities for differentiable preinvex and prequasiinvexfunctions. RGMIA (2014)
- Noor, M.A.: On Hadamard integral inequalities involving twolog-preinvex functions. J. Inequal. Pure Appl. Math. 8, 1--6 (2007)
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Ocak 2021
Gönderilme Tarihi
6 Eylül 2019
Kabul Tarihi
27 Şubat 2020
Yayımlandığı Sayı
Yıl 2021 Cilt: 4 Sayı: 1
APA
Akkurt, A., & Yıldırım, H. (2021). HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS. Journal of Universal Mathematics, 4(1), 87-101. https://izlik.org/JA84KA49JF
AMA
1.Akkurt A, Yıldırım H. HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS. JUM. 2021;4(1):87-101. https://izlik.org/JA84KA49JF
Chicago
Akkurt, Abdullah, ve Hüseyin Yıldırım. 2021. “HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS”. Journal of Universal Mathematics 4 (1): 87-101. https://izlik.org/JA84KA49JF.
EndNote
Akkurt A, Yıldırım H (01 Ocak 2021) HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS. Journal of Universal Mathematics 4 1 87–101.
IEEE
[1]A. Akkurt ve H. Yıldırım, “HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS”, JUM, c. 4, sy 1, ss. 87–101, Oca. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA84KA49JF
ISNAD
Akkurt, Abdullah - Yıldırım, Hüseyin. “HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS”. Journal of Universal Mathematics 4/1 (01 Ocak 2021): 87-101. https://izlik.org/JA84KA49JF.
JAMA
1.Akkurt A, Yıldırım H. HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS. JUM. 2021;4:87–101.
MLA
Akkurt, Abdullah, ve Hüseyin Yıldırım. “HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS”. Journal of Universal Mathematics, c. 4, sy 1, Ocak 2021, ss. 87-101, https://izlik.org/JA84KA49JF.
Vancouver
1.Abdullah Akkurt, Hüseyin Yıldırım. HERMITE--HADAMARD TYPE INEQUALITIES VIA DIFFERENTIABLE hφ−h_{\varphi }-hφ− PREINVEX FUNCTIONS FOR FRACTIONAL INTEGRALS. JUM [Internet]. 01 Ocak 2021;4(1):87-101. Erişim adresi: https://izlik.org/JA84KA49JF