Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2016, Cilt: 4 Sayı: 1, 77 - 87, 15.04.2016

İmdat İşcan

https://doi.org/10.36753/mathenot.421413
Cited By: 4

Öz

Kaynakça

  • [1] Dahmani, Z., On Minkowski and Hermite-Hadamard integral inequalities via fractional via fractional integration. Ann. Funct. Anal. 1 (2010), no. 1, 51-58.
  • [2] Dragomir, S.S., Cho, Y.J. and Kim, S.S., Inequalities of Hadamard’s Type for Lipschitzian Mappings and Their Applications. J. Math. Anal. Appl. 245 (2000), 489-501.
  • [3] Hwang, S.-R., Hsu, K.-C. and Tseng, K.-L., Hadamard-type inequalities for Lipschitzian functions in one and two variables with applications. J. Math. Anal. Appl. 405 (2013), 546-554.
  • [4]İşcan, İ., New general integral inequalities for Lipschitzian functions via Hadamard fractional integrals. Int. J. Anal. 2014 (2014), Article ID 353924, 8 pages.
  • [5] Samko, S.G., Kilbas, A.A. and Marichev, O.I., Fractional Integrals and Derivatives Theory and Application. Gordan and Breach Science, New York, 1993.
  • [6] Sarıkaya, M.Z. and Ogunmez, H., On new inequalities via Riemann-Liouville fractional integration. Abstr. Appl. Anal. 2012 (2012), Article ID 428983, 10 pages.
  • [7] Sarıkaya, M.Z., Set, E., Yaldız, H. and Başak, N., Hermite-Hadamard’s inequalities for fractional integrals and related fractional inequalities. Math. Comput. Modelling 57 (2013), 2403-2407.
  • [8] Tseng, K.-L., Hwang, S.-R. and Dragomir, S.S., Fejér-type inequalities (1). J. Inequal. Appl. 2010 (2010), Article ID 531976, 7 pages.
  • [9] Tseng, K.-L., Hwang, S.-R. and Hsu, K.-C., Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications. Comput. Math. Appl. 64 (2012), no. 4, 651-660.
  • [10] Yang, G.-S. and Tseng, K.-L., Inequalities of Hadamard’s Type for Lipschitzian Mappings. J. Math. Anal. Appl. 260 (2001), no. 1, 230-238.
  • [11] Zhu, C., Feckan, M. and Wang, J., Fractional integral inequalities for differentiable convex mappings and applications to special means and a midpoint formula. J. Appl. Math. Stat. Inform. 8 (2012), no. 2, 21-28.

Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals

Yıl 2016, Cilt: 4 Sayı: 1, 77 - 87, 15.04.2016

İmdat İşcan

https://doi.org/10.36753/mathenot.421413
Cited By: 4

Öz

In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian
functions via Riemann Liouville fractional integral.

Anahtar Kelimeler

Lipschitzian functions Hadamard inequality Bullen inequality Riemann–Liouville fractional integral

Kaynakça

  • [1] Dahmani, Z., On Minkowski and Hermite-Hadamard integral inequalities via fractional via fractional integration. Ann. Funct. Anal. 1 (2010), no. 1, 51-58.
  • [2] Dragomir, S.S., Cho, Y.J. and Kim, S.S., Inequalities of Hadamard’s Type for Lipschitzian Mappings and Their Applications. J. Math. Anal. Appl. 245 (2000), 489-501.
  • [3] Hwang, S.-R., Hsu, K.-C. and Tseng, K.-L., Hadamard-type inequalities for Lipschitzian functions in one and two variables with applications. J. Math. Anal. Appl. 405 (2013), 546-554.
  • [4]İşcan, İ., New general integral inequalities for Lipschitzian functions via Hadamard fractional integrals. Int. J. Anal. 2014 (2014), Article ID 353924, 8 pages.
  • [5] Samko, S.G., Kilbas, A.A. and Marichev, O.I., Fractional Integrals and Derivatives Theory and Application. Gordan and Breach Science, New York, 1993.
  • [6] Sarıkaya, M.Z. and Ogunmez, H., On new inequalities via Riemann-Liouville fractional integration. Abstr. Appl. Anal. 2012 (2012), Article ID 428983, 10 pages.
  • [7] Sarıkaya, M.Z., Set, E., Yaldız, H. and Başak, N., Hermite-Hadamard’s inequalities for fractional integrals and related fractional inequalities. Math. Comput. Modelling 57 (2013), 2403-2407.
  • [8] Tseng, K.-L., Hwang, S.-R. and Dragomir, S.S., Fejér-type inequalities (1). J. Inequal. Appl. 2010 (2010), Article ID 531976, 7 pages.
  • [9] Tseng, K.-L., Hwang, S.-R. and Hsu, K.-C., Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications. Comput. Math. Appl. 64 (2012), no. 4, 651-660.
  • [10] Yang, G.-S. and Tseng, K.-L., Inequalities of Hadamard’s Type for Lipschitzian Mappings. J. Math. Anal. Appl. 260 (2001), no. 1, 230-238.
  • [11] Zhu, C., Feckan, M. and Wang, J., Fractional integral inequalities for differentiable convex mappings and applications to special means and a midpoint formula. J. Appl. Math. Stat. Inform. 8 (2012), no. 2, 21-28.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

İmdat İşcan

Yayımlanma Tarihi 15 Nisan 2016
Gönderilme Tarihi 4 Mart 2015
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 1

Kaynak Göster

APA İşcan, İ. (2016). Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals. Mathematical Sciences and Applications E-Notes, 4(1), 77-87. https://doi.org/10.36753/mathenot.421413
AMA İşcan İ. Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals. Math. Sci. Appl. E-Notes. Nisan 2016;4(1):77-87. doi:10.36753/mathenot.421413
Chicago İşcan, İmdat. “Hadamard-Type and Bullen-Type Inequalities for Lipschitzian Functions via Fractional Integrals”. Mathematical Sciences and Applications E-Notes 4, sy. 1 (Nisan 2016): 77-87. https://doi.org/10.36753/mathenot.421413.
EndNote İşcan İ (01 Nisan 2016) Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals. Mathematical Sciences and Applications E-Notes 4 1 77–87.
IEEE İ. İşcan, “Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals”, Math. Sci. Appl. E-Notes, c. 4, sy. 1, ss. 77–87, 2016, doi: 10.36753/mathenot.421413.
ISNAD İşcan, İmdat. “Hadamard-Type and Bullen-Type Inequalities for Lipschitzian Functions via Fractional Integrals”. Mathematical Sciences and Applications E-Notes 4/1 (Nisan 2016), 77-87. https://doi.org/10.36753/mathenot.421413.
JAMA İşcan İ. Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals. Math. Sci. Appl. E-Notes. 2016;4:77–87.
MLA İşcan, İmdat. “Hadamard-Type and Bullen-Type Inequalities for Lipschitzian Functions via Fractional Integrals”. Mathematical Sciences and Applications E-Notes, c. 4, sy. 1, 2016, ss. 77-87, doi:10.36753/mathenot.421413.
Vancouver İşcan İ. Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals. Math. Sci. Appl. E-Notes. 2016;4(1):77-8.

Cited By

Some new estimates of integral inequalities and their applications
Ukrains’kyi Matematychnyi Zhurnal
https://doi.org/10.3842/umzh.v76i2.7266
Some general integral inequalities for Lipschitzian functions via conformable fractional integral
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
https://doi.org/10.31801/cfsuasmas.473090
ON INTEGRAL INEQUALITIES FOR INVEX FUNCTIONS SATISFYING LIPSCHITZIAN REQUIREMENT
Journal of Universal Mathematics
https://doi.org/10.33773/jum.679836
New Extensions of the Parameterized Inequalities Based on Riemann–Liouville Fractional Integrals
Mathematics
https://doi.org/10.3390/math10183374

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.