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

Year 2017, Volume: 7 Issue: 1, 253 - 258, 01.01.2017

Abstract

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

References

  • 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

Year 2017, Volume: 7 Issue: 1, 253 - 258, 01.01.2017

Abstract

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.

References

  • 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.
There are 14 citations in total.

Details

Primary Language Turkish
Journal Section Research Article
Authors

Sercan Turhan This is me

İmdat İşcan This is me

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 7 Issue: 1

Cite

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. January 2017;7(1):253-258.
Chicago Turhan, Sercan, and İmdat İşcan. “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”. Karaelmas Fen Ve Mühendislik Dergisi 7, no. 1 (January 2017): 253-58.
EndNote Turhan S, İşcan İ (January 1, 2017) Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler. Karaelmas Fen ve Mühendislik Dergisi 7 1 253–258.
IEEE S. Turhan and İ. İşcan, “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”, Karaelmas Fen ve Mühendislik Dergisi, vol. 7, no. 1, pp. 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 (January 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 and İmdat İşcan. “Harmonically-P-Fonksiyonlar İçin Yeni Hermite-Hadamard-Fejér Tipli Eşitsizlikler”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 7, no. 1, 2017, pp. 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.