BibTex RIS Kaynak Göster

Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler

Yıl 2017, Cilt: 7 Sayı: 1, 253 - 258, 01.01.2017

Öz

Bu makalede, harmonically-P-fonksiyonlar için Hermite-Hadamard- Fejér tipli kesirli integral eşitsizlikleri için yeni teoremler ve sonuçlar verildi. Son kısmında ise özel ortalamaları ve Hipergeometrik fonksiyonları kullanarak sonuçlara uyguladık

Kaynakça

  • Alomari, MW., Darus, M., Kirmaci, US. 2010. Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comp. and Math. with Appl., 59: 225-232.
  • Burai, P., Hazy, A. 2011. On approximately h-convex functions, J. Convex Anal., 18(2): 447-454.
  • Kilbas, AA., Srivastava, HM., Trujillo, JJ. 2006. Theory and applications of fractional differential equations. Elsevier, Amsterdam.
  • Chen, F., Wu, S. 2014. Fejér and Hermite-Hadamard type inqequalities for harmonically convex functions, J. Appl. Math., article id:386806, 6 pp.
  • İşcan, İ., Wu, S. 2014. Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Appl. Math. Comput., 238: 237-244.
  • İşcan, İ. 2014. Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat., 43 (6): 935-942.
  • İşcan, İ., Kunt, M. 2015. Hermite-Hadamard-Fejér type inequalities for harmonically convex functions via fractional integrals. RGMIA, 18, Article 107, 16 pp.
  • İşcan, İ., Turhan, S., Maden, S. 2016. Some Hermite-HadamardFejer type inequalities for harmonically convex functions via fractional integral. NTMSCI, 4(2): 1-10.
  • Latif, MA., Dragomir, SS., Momoniat, E. 2015. Some Fejér type inequalities for harmonically-convex functions with applications to special means. RGMIA, 18 Article 24, 17 pp.
  • Noor, M., Aslam, NK., Inayat, A., Uzair, M., Costache, S. 2015. Some integral inequalities for harmonically h-convex functions. Uni. POLITEHNICA of Bucharest Sci. Bull. A series: Appl. Math. Phys., 77 (1): 5-16.
  • Mihai, Marcela V., Noor, M. Aslam, Noor, Khalida Inayat, Awan, M. Uzair, 2015. Some integral inequalities for harmonic h-convex functions involving hypergeometric functions. Appl. Math. Comp. 252: 257-262.
  • Varosanec, S., 2007. On h-convexity. J. Math. Anal. Appl., 326: 303-311.
  • Xi, Bo-Yan, Qi, Feng, 2013. Some inequalities of HermiteHadamard type for h-convex functions, Adv. Inequal. Appl., 2(1), 1-15.
  • Xi, Bo-Yan, Wang, Shu-Hong, Qi, Feng, 2013. Properties and inequalities for the h- and (h, m)-logarithmically convex functions, Creat. Math. Inform., 23 (2014), No. 1, 123-130.

New Hermite-Hadamard-Fejér type inequalities for harmonically-P- Functions

Yıl 2017, Cilt: 7 Sayı: 1, 253 - 258, 01.01.2017

Öz

In this paper, we give new the theorems and results of the right side of Hermite-Hadamard-Fejér type inequalities for harmonically--functions via fractional integrals. Finally we implement our result using Hypergeometric functions and special means.

Kaynakça

  • Alomari, MW., Darus, M., Kirmaci, US. 2010. Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comp. and Math. with Appl., 59: 225-232.
  • Burai, P., Hazy, A. 2011. On approximately h-convex functions, J. Convex Anal., 18(2): 447-454.
  • Kilbas, AA., Srivastava, HM., Trujillo, JJ. 2006. Theory and applications of fractional differential equations. Elsevier, Amsterdam.
  • Chen, F., Wu, S. 2014. Fejér and Hermite-Hadamard type inqequalities for harmonically convex functions, J. Appl. Math., article id:386806, 6 pp.
  • İşcan, İ., Wu, S. 2014. Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Appl. Math. Comput., 238: 237-244.
  • İşcan, İ. 2014. Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat., 43 (6): 935-942.
  • İşcan, İ., Kunt, M. 2015. Hermite-Hadamard-Fejér type inequalities for harmonically convex functions via fractional integrals. RGMIA, 18, Article 107, 16 pp.
  • İşcan, İ., Turhan, S., Maden, S. 2016. Some Hermite-HadamardFejer type inequalities for harmonically convex functions via fractional integral. NTMSCI, 4(2): 1-10.
  • Latif, MA., Dragomir, SS., Momoniat, E. 2015. Some Fejér type inequalities for harmonically-convex functions with applications to special means. RGMIA, 18 Article 24, 17 pp.
  • Noor, M., Aslam, NK., Inayat, A., Uzair, M., Costache, S. 2015. Some integral inequalities for harmonically h-convex functions. Uni. POLITEHNICA of Bucharest Sci. Bull. A series: Appl. Math. Phys., 77 (1): 5-16.
  • Mihai, Marcela V., Noor, M. Aslam, Noor, Khalida Inayat, Awan, M. Uzair, 2015. Some integral inequalities for harmonic h-convex functions involving hypergeometric functions. Appl. Math. Comp. 252: 257-262.
  • Varosanec, S., 2007. On h-convexity. J. Math. Anal. Appl., 326: 303-311.
  • Xi, Bo-Yan, Qi, Feng, 2013. Some inequalities of HermiteHadamard type for h-convex functions, Adv. Inequal. Appl., 2(1), 1-15.
  • Xi, Bo-Yan, Wang, Shu-Hong, Qi, Feng, 2013. Properties and inequalities for the h- and (h, m)-logarithmically convex functions, Creat. Math. Inform., 23 (2014), No. 1, 123-130.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Research Article
Yazarlar

Sercan Turhan Bu kişi benim

İmdat İşcan Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 7 Sayı: 1

Kaynak Göster

APA Turhan, S., & İşcan, İ. (2017). Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler. Karaelmas Fen Ve Mühendislik Dergisi, 7(1), 253-258.
AMA Turhan S, İşcan İ. Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler. Karaelmas Fen ve Mühendislik Dergisi. Ocak 2017;7(1):253-258.
Chicago Turhan, Sercan, ve İmdat İşcan. “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”. Karaelmas Fen Ve Mühendislik Dergisi 7, sy. 1 (Ocak 2017): 253-58.
EndNote Turhan S, İşcan İ (01 Ocak 2017) Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler. Karaelmas Fen ve Mühendislik Dergisi 7 1 253–258.
IEEE S. Turhan ve İ. İşcan, “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”, Karaelmas Fen ve Mühendislik Dergisi, c. 7, sy. 1, ss. 253–258, 2017.
ISNAD Turhan, Sercan - İşcan, İmdat. “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”. Karaelmas Fen ve Mühendislik Dergisi 7/1 (Ocak 2017), 253-258.
JAMA Turhan S, İşcan İ. Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler. Karaelmas Fen ve Mühendislik Dergisi. 2017;7:253–258.
MLA Turhan, Sercan ve İmdat İşcan. “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”. Karaelmas Fen Ve Mühendislik Dergisi, c. 7, sy. 1, 2017, ss. 253-8.
Vancouver Turhan S, İşcan İ. Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler. Karaelmas Fen ve Mühendislik Dergisi. 2017;7(1):253-8.