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Kesirli İntegraller Yolu ile Harmonik s-Konveks Fonksiyonlar için Hermite-Hadamard-Fejér Tipli Yeni Eşitsizlikler Üzerine

Yıl 2016, Cilt: 6 Sayı: 2, 387 - 392, 01.06.2016

Öz

Bu çalışmada, kesirli integraller yolu ile harmonik s-konveks fonksiyonlar için bazı Hermite-Hadamard-Fejér tipli yeni eşitsizlikler elde edilmiştir

Kaynakça

  • Bombardelli, M., Varošanec, S. 2009. Properties of h-convex functions related to the Hermite Hadamard Fejér inequalities. Comput. Math. Appl., 58: 1869-1877.
  • Chen, F., Wu, S. 2014. Fejér and Hermite-Hadamard type inqequalities for harmonically convex functions. J. Appl. Math., volume 2014, article id:386806.
  • Dahmani, Z. 2010. On Minkowski and Hermite-Hadamard integral inequalities via fractional integration. Ann. Funct. Anal., 1(1): 51-58.
  • Fejér, L. 1906. Uber die Fourierreihen. II. Math. Naturwise. Anz Ungar. Akad., Wiss, 24: 369-390, (in Hungarian).
  • Hadamard, J. 1893. Étude sur les propriétés des fonctions entières et en particulier d’une fonction considérée par Riemann. J. Math. Pures Appl., 58: 171-215.
  • İşcan, İ. 2013. New estimates on generalization of some integral inequalities for s-convex functions and their applications. Int. J. Pure Appl. Math., 86(4): 727-746.
  • İşcan, İ. 2014. Some new general integral inequalities for h-convex and h-concave functions. Adv. Pure Appl. Math., 5(1): 21-29.
  • İşcan, İ. 2013-a. Generalization of different type integral inequalitiesfor s-convex functions via fractional integrals. Appl. Anal., doi: 10.1080/00036811.2013.851785.
  • İşcan, İ. 2014-a. On generalization of different type integral inequalities for s-convex functions via fractional integrals. Math. Sci. Appl. E-Not., 2(1): 55-67.
  • 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-b. Hermite-Hadamard type inequalities for harmonically convex functions. Hacet. J. Math. Stat., 43 (6): 935-942.
  • İşcan, İ. 2015. Ostrowski type inequalities for harmonically -convex functions. Konur. J. Math, Volume 3, No 1: 63-74.
  • Kilbas, AA., Srivastava, HM, Trujillo, JJ. 2006. Theory and applications of fractional differential equations. Elsevier, Amsterdam.
  • Kunt, M., İşcan, İ., Gözütok, NY., Gözütok, U., 2016. On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals, Springerplus, 5(635), 1-19.
  • Latif, MA., Dragomir, SS., Momoniat, E. 2015. Some Fejér type inequalities for harmonically-convex functions with applications to special means, RGMIA Res. Rep. Coll. 18, Article 24, 1-17.
  • Sarıkaya, MZ. 2012. On new Hermite Hadamard Fejér type integral inequalities. Stud. Univ. Babe-Bolyai Math., 57(3): 377–386. Sarıkaya, MZ., Set, E., Yaldız, H., Başak, N. 2013. HermiteHadamard’s inequalities for fractional integrals and related fractional inequalities. Math. Comput. Mod., 57(9): 2403-2407.
  • Tseng, KL., Yang, GS., Hsu, KC. 2011. Some inequalities for differentiable mappings and applications to Fejér inequality and weighted trapezoidal formula. Taiw. J. Math., 15(4): 1737-1747.
  • Wang, J., Li, X., Feckan, M., Zhou, Y. 2012. Hermite-Hadamardtype inequalities for Riemann-Liouville fractional integrals via two kinds of convexity. Appl. Anal., 92(11): 2241-2253.
  • Wang, J., Zhu, C., Zhou, Y. 2013. New generalized HermiteHadamard type inequalities and applications to special means. J. Inequal. Appl., 325(2013), 1-15.

On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals

Yıl 2016, Cilt: 6 Sayı: 2, 387 - 392, 01.06.2016

Öz

In this paper, some Hermite-Hadamard-Fejér type integral inequalities for harmonically -convex functions in fractional integral forms are obtained.

Kaynakça

  • Bombardelli, M., Varošanec, S. 2009. Properties of h-convex functions related to the Hermite Hadamard Fejér inequalities. Comput. Math. Appl., 58: 1869-1877.
  • Chen, F., Wu, S. 2014. Fejér and Hermite-Hadamard type inqequalities for harmonically convex functions. J. Appl. Math., volume 2014, article id:386806.
  • Dahmani, Z. 2010. On Minkowski and Hermite-Hadamard integral inequalities via fractional integration. Ann. Funct. Anal., 1(1): 51-58.
  • Fejér, L. 1906. Uber die Fourierreihen. II. Math. Naturwise. Anz Ungar. Akad., Wiss, 24: 369-390, (in Hungarian).
  • Hadamard, J. 1893. Étude sur les propriétés des fonctions entières et en particulier d’une fonction considérée par Riemann. J. Math. Pures Appl., 58: 171-215.
  • İşcan, İ. 2013. New estimates on generalization of some integral inequalities for s-convex functions and their applications. Int. J. Pure Appl. Math., 86(4): 727-746.
  • İşcan, İ. 2014. Some new general integral inequalities for h-convex and h-concave functions. Adv. Pure Appl. Math., 5(1): 21-29.
  • İşcan, İ. 2013-a. Generalization of different type integral inequalitiesfor s-convex functions via fractional integrals. Appl. Anal., doi: 10.1080/00036811.2013.851785.
  • İşcan, İ. 2014-a. On generalization of different type integral inequalities for s-convex functions via fractional integrals. Math. Sci. Appl. E-Not., 2(1): 55-67.
  • 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-b. Hermite-Hadamard type inequalities for harmonically convex functions. Hacet. J. Math. Stat., 43 (6): 935-942.
  • İşcan, İ. 2015. Ostrowski type inequalities for harmonically -convex functions. Konur. J. Math, Volume 3, No 1: 63-74.
  • Kilbas, AA., Srivastava, HM, Trujillo, JJ. 2006. Theory and applications of fractional differential equations. Elsevier, Amsterdam.
  • Kunt, M., İşcan, İ., Gözütok, NY., Gözütok, U., 2016. On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals, Springerplus, 5(635), 1-19.
  • Latif, MA., Dragomir, SS., Momoniat, E. 2015. Some Fejér type inequalities for harmonically-convex functions with applications to special means, RGMIA Res. Rep. Coll. 18, Article 24, 1-17.
  • Sarıkaya, MZ. 2012. On new Hermite Hadamard Fejér type integral inequalities. Stud. Univ. Babe-Bolyai Math., 57(3): 377–386. Sarıkaya, MZ., Set, E., Yaldız, H., Başak, N. 2013. HermiteHadamard’s inequalities for fractional integrals and related fractional inequalities. Math. Comput. Mod., 57(9): 2403-2407.
  • Tseng, KL., Yang, GS., Hsu, KC. 2011. Some inequalities for differentiable mappings and applications to Fejér inequality and weighted trapezoidal formula. Taiw. J. Math., 15(4): 1737-1747.
  • Wang, J., Li, X., Feckan, M., Zhou, Y. 2012. Hermite-Hadamardtype inequalities for Riemann-Liouville fractional integrals via two kinds of convexity. Appl. Anal., 92(11): 2241-2253.
  • Wang, J., Zhu, C., Zhou, Y. 2013. New generalized HermiteHadamard type inequalities and applications to special means. J. Inequal. Appl., 325(2013), 1-15.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Mehmet Kunt Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 6 Sayı: 2

Kaynak Göster

APA Kunt, M. (2016). On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals. Karaelmas Fen Ve Mühendislik Dergisi, 6(2), 387-392.
AMA Kunt M. On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals. Karaelmas Fen ve Mühendislik Dergisi. Haziran 2016;6(2):387-392.
Chicago Kunt, Mehmet. “On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically S-Convex Functions via Fractional İntegrals”. Karaelmas Fen Ve Mühendislik Dergisi 6, sy. 2 (Haziran 2016): 387-92.
EndNote Kunt M (01 Haziran 2016) On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals. Karaelmas Fen ve Mühendislik Dergisi 6 2 387–392.
IEEE M. Kunt, “On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals”, Karaelmas Fen ve Mühendislik Dergisi, c. 6, sy. 2, ss. 387–392, 2016.
ISNAD Kunt, Mehmet. “On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically S-Convex Functions via Fractional İntegrals”. Karaelmas Fen ve Mühendislik Dergisi 6/2 (Haziran 2016), 387-392.
JAMA Kunt M. On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals. Karaelmas Fen ve Mühendislik Dergisi. 2016;6:387–392.
MLA Kunt, Mehmet. “On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically S-Convex Functions via Fractional İntegrals”. Karaelmas Fen Ve Mühendislik Dergisi, c. 6, sy. 2, 2016, ss. 387-92.
Vancouver Kunt M. On New İnequalities of Hermite-Hadamard-Fejér Type for Harmonically s-Convex Functions via Fractional İntegrals. Karaelmas Fen ve Mühendislik Dergisi. 2016;6(2):387-92.