BibTex RIS Cite

n-Mertebeden Türevlenebilir Quasi-Konveks Fonksiyonlar Yardımıyla Eşitsizlikler

Year 2017, Volume: 7 Issue: 1, 199 - 201, 01.01.2017

Abstract

Bu çalışmada, n-mertebeden türevlenebilir quasi-konveks fonksiyonlar için yeni bazı integral eşitsizlikler elde edilmiştir

References

  • Alomari, M., Darus, M., Kırmacı U.S. 2010. Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comput. Math. Applic., 59: 225-232.
  • Barnett, N. S., Dragomir, S. S. 2002. Applications of Ostrowski’s version of the Grüss inequality for trapezoid type rules, RGMIA Res. Rep. Coll., 5.
  • Bai, S.-P., Wang, S.-H., Qi, F. 2012. Some Hermite-Hadamard type inequalities for n-time differentiable (a,m)-convex functions, J. Inequal. Appl., 2012:267.
  • Cerone, P., Dragomir, S. S., Roumelotis, J. 1999. Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstr. Math., 32: 697-712.
  • Dragomir, S. S., Pearce C. E. M. 2012. Jensen’s inequality for quasi-convex functions, NACO, 2: 279-291.
  • Hwang, D.-Y. 2003. Some inequalities for n-time differentiable mappings and applications, Kyungpook Math. J., 43: 335-343.
  • Hussain, S., Qaisar, S. 2013. New Integral Inequalities of the Type of Hermite-Hadamard Through Quasi Convexity, Punjab University J. of Math., 45.
  • Ion, D. A. 2007. Some estimates on the Hermite-Hadamard inequality through quasi-convex functions, An. Univ. Craiova, Ser. Mat. Inf., 34: 83-88.
  • Jiang, W.-D., Niu, D.-W., Hua, Y., Qi, F. 2012. Generalizations of Hermite-Hadamard inequality to n-time differentiable functions which are quasi-convex in the second sense, Analysis (Munich), 32: 209–220.
  • Kechriniotis, A. I., Theodorou, Y. A. 2008. New integral inequalities for n-time differentiable functions with applications for pdfs, Appl. Math. Sciences, 2: 353 – 362.
  • Kavurmacı, H., Avcı, M., Özdemir, M. E. 2011. New inequalities of Hermite-Hadamard type for convex functions with applications, J. Inequal. Appl., 2011:86.
  • Özdemir, M. E., Kavurmacı, H., Akdemir, A. O., Avcı, M. 2012. Inequalities for convex and s-convex functions on Δ=[a,b] x[c,d], J. Inequal. Appl., 2012:20.
  • Özdemir, M. E., Yıldız, Ç., Akdemir, A. O. 2012. On some new Hadamard-type inequalities for co-ordinated quasi-convex functions, Hacettepe J. Math. Statistics, 41: 697 – 707.
  • Pachpatte, B. G., 2004. New inequalities of Ostrowski and Trapezoid type for n-time differentiable functions, Bull. Korean Math. Soc. 41: 633-639.
  • Sofo, A. 2002. Integral inequalities for n-times differentiable mappings, with multiple branches, on the L_{p} norm, Soochow J. Math., 28: 179-221
  • Wang, S.-H., Xi, B.-Y., Qi, F. 2012. Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex, Analysis, 32: 247-262.
  • Xi, B.-Y., Qi, F. 2013. Hermite-Hadamard type inequalities for functions whose derivatives are of convexities, Nonlinear Funct. Anal. Appl., 18: 163-176.

Inequalities Via n-Times Differentiable quasi-Convex Functions

Year 2017, Volume: 7 Issue: 1, 199 - 201, 01.01.2017

Abstract

In this paper, we establish some integral inequalities for times differentiable convex functions.

References

  • Alomari, M., Darus, M., Kırmacı U.S. 2010. Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comput. Math. Applic., 59: 225-232.
  • Barnett, N. S., Dragomir, S. S. 2002. Applications of Ostrowski’s version of the Grüss inequality for trapezoid type rules, RGMIA Res. Rep. Coll., 5.
  • Bai, S.-P., Wang, S.-H., Qi, F. 2012. Some Hermite-Hadamard type inequalities for n-time differentiable (a,m)-convex functions, J. Inequal. Appl., 2012:267.
  • Cerone, P., Dragomir, S. S., Roumelotis, J. 1999. Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstr. Math., 32: 697-712.
  • Dragomir, S. S., Pearce C. E. M. 2012. Jensen’s inequality for quasi-convex functions, NACO, 2: 279-291.
  • Hwang, D.-Y. 2003. Some inequalities for n-time differentiable mappings and applications, Kyungpook Math. J., 43: 335-343.
  • Hussain, S., Qaisar, S. 2013. New Integral Inequalities of the Type of Hermite-Hadamard Through Quasi Convexity, Punjab University J. of Math., 45.
  • Ion, D. A. 2007. Some estimates on the Hermite-Hadamard inequality through quasi-convex functions, An. Univ. Craiova, Ser. Mat. Inf., 34: 83-88.
  • Jiang, W.-D., Niu, D.-W., Hua, Y., Qi, F. 2012. Generalizations of Hermite-Hadamard inequality to n-time differentiable functions which are quasi-convex in the second sense, Analysis (Munich), 32: 209–220.
  • Kechriniotis, A. I., Theodorou, Y. A. 2008. New integral inequalities for n-time differentiable functions with applications for pdfs, Appl. Math. Sciences, 2: 353 – 362.
  • Kavurmacı, H., Avcı, M., Özdemir, M. E. 2011. New inequalities of Hermite-Hadamard type for convex functions with applications, J. Inequal. Appl., 2011:86.
  • Özdemir, M. E., Kavurmacı, H., Akdemir, A. O., Avcı, M. 2012. Inequalities for convex and s-convex functions on Δ=[a,b] x[c,d], J. Inequal. Appl., 2012:20.
  • Özdemir, M. E., Yıldız, Ç., Akdemir, A. O. 2012. On some new Hadamard-type inequalities for co-ordinated quasi-convex functions, Hacettepe J. Math. Statistics, 41: 697 – 707.
  • Pachpatte, B. G., 2004. New inequalities of Ostrowski and Trapezoid type for n-time differentiable functions, Bull. Korean Math. Soc. 41: 633-639.
  • Sofo, A. 2002. Integral inequalities for n-times differentiable mappings, with multiple branches, on the L_{p} norm, Soochow J. Math., 28: 179-221
  • Wang, S.-H., Xi, B.-Y., Qi, F. 2012. Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex, Analysis, 32: 247-262.
  • Xi, B.-Y., Qi, F. 2013. Hermite-Hadamard type inequalities for functions whose derivatives are of convexities, Nonlinear Funct. Anal. Appl., 18: 163-176.
There are 17 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Merve Avcı Ardıç This is me

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

Cite

APA Ardıç, M. A. (2017). Inequalities Via n-Times Differentiable quasi-Convex Functions. Karaelmas Fen Ve Mühendislik Dergisi, 7(1), 199-201.
AMA Ardıç MA. Inequalities Via n-Times Differentiable quasi-Convex Functions. Karaelmas Fen ve Mühendislik Dergisi. January 2017;7(1):199-201.
Chicago Ardıç, Merve Avcı. “Inequalities Via N-Times Differentiable Quasi-Convex Functions”. Karaelmas Fen Ve Mühendislik Dergisi 7, no. 1 (January 2017): 199-201.
EndNote Ardıç MA (January 1, 2017) Inequalities Via n-Times Differentiable quasi-Convex Functions. Karaelmas Fen ve Mühendislik Dergisi 7 1 199–201.
IEEE M. A. Ardıç, “Inequalities Via n-Times Differentiable quasi-Convex Functions”, Karaelmas Fen ve Mühendislik Dergisi, vol. 7, no. 1, pp. 199–201, 2017.
ISNAD Ardıç, Merve Avcı. “Inequalities Via N-Times Differentiable Quasi-Convex Functions”. Karaelmas Fen ve Mühendislik Dergisi 7/1 (January 2017), 199-201.
JAMA Ardıç MA. Inequalities Via n-Times Differentiable quasi-Convex Functions. Karaelmas Fen ve Mühendislik Dergisi. 2017;7:199–201.
MLA Ardıç, Merve Avcı. “Inequalities Via N-Times Differentiable Quasi-Convex Functions”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 7, no. 1, 2017, pp. 199-01.
Vancouver Ardıç MA. Inequalities Via n-Times Differentiable quasi-Convex Functions. Karaelmas Fen ve Mühendislik Dergisi. 2017;7(1):199-201.