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Year 2019, Volume: 7 Issue: 1, 112 - 116, 15.04.2019

Abstract

References

  • [1] R. P. Agarwal and P. Y. H. Pang, Remarks on the generalizations of Opial’s inequality, J. Math. Anal. Appl. 190:2 (1995), 559–577.
  • [2] M. W. Alomari, On Beesack–Wirtinger Inequality, Results Math 72 (2017), 1213–1225
  • [3] P. R. Beesack, Integral inequalities involving a function and its derivative, Amer. Math. Monthly 78 (1971), 705–741.
  • [4] P. R. Beesack, Integral inequalities of the Wirtinger type, Duke Math. J. 25, 477-498, (1958).
  • [5] P. R. Beesack, Hardy’s inequality and its extensions, Pacific J. Math. 11 (1961), 39–61.
  • [6] G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, 1988.
  • [7] C. F. Lee, C.C. Yeh, C.H. Hong, R.P. Agarwal, Lyapunov and Wirtinger inequalities, Appl. Math. Lett. 17 (2004) 847–853.
  • [8] J. Jaros, On an integral inequality of the Wirtinger type, Applied Mathematics Letters 24 (2011) 1389–1392.
  • [9] D. S. Mitrinovic, J.E. Pecaric and A.M. Fink, Inequalities involving functions and their integrals and derivatives, Dordrecht, 1991.
  • [10] S-E. Takahasi and T. Miura, A note on Wirtinger-Beesack’s integral inequalities, Math. Inequal. Appl. 6 (2003), no. 2, 277–282.
  • [11] C. A. Swanson, Wirtinger’s inequality, SIAM J. Math. Anal. 9, 484-491, (1978).

On the New Wirtinger Type Inequalities

Year 2019, Volume: 7 Issue: 1, 112 - 116, 15.04.2019

Abstract

The aim of this paper to establish a generalized and refinement of Wirtinger type inequality.



References

  • [1] R. P. Agarwal and P. Y. H. Pang, Remarks on the generalizations of Opial’s inequality, J. Math. Anal. Appl. 190:2 (1995), 559–577.
  • [2] M. W. Alomari, On Beesack–Wirtinger Inequality, Results Math 72 (2017), 1213–1225
  • [3] P. R. Beesack, Integral inequalities involving a function and its derivative, Amer. Math. Monthly 78 (1971), 705–741.
  • [4] P. R. Beesack, Integral inequalities of the Wirtinger type, Duke Math. J. 25, 477-498, (1958).
  • [5] P. R. Beesack, Hardy’s inequality and its extensions, Pacific J. Math. 11 (1961), 39–61.
  • [6] G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, 1988.
  • [7] C. F. Lee, C.C. Yeh, C.H. Hong, R.P. Agarwal, Lyapunov and Wirtinger inequalities, Appl. Math. Lett. 17 (2004) 847–853.
  • [8] J. Jaros, On an integral inequality of the Wirtinger type, Applied Mathematics Letters 24 (2011) 1389–1392.
  • [9] D. S. Mitrinovic, J.E. Pecaric and A.M. Fink, Inequalities involving functions and their integrals and derivatives, Dordrecht, 1991.
  • [10] S-E. Takahasi and T. Miura, A note on Wirtinger-Beesack’s integral inequalities, Math. Inequal. Appl. 6 (2003), no. 2, 277–282.
  • [11] C. A. Swanson, Wirtinger’s inequality, SIAM J. Math. Anal. 9, 484-491, (1978).
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Mehmet Zeki Sarıkaya 0000-0002-6165-9242

Publication Date April 15, 2019
Submission Date March 25, 2019
Acceptance Date April 2, 2019
Published in Issue Year 2019 Volume: 7 Issue: 1

Cite

APA Sarıkaya, M. Z. (2019). On the New Wirtinger Type Inequalities. Konuralp Journal of Mathematics, 7(1), 112-116.
AMA Sarıkaya MZ. On the New Wirtinger Type Inequalities. Konuralp J. Math. April 2019;7(1):112-116.
Chicago Sarıkaya, Mehmet Zeki. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics 7, no. 1 (April 2019): 112-16.
EndNote Sarıkaya MZ (April 1, 2019) On the New Wirtinger Type Inequalities. Konuralp Journal of Mathematics 7 1 112–116.
IEEE M. Z. Sarıkaya, “On the New Wirtinger Type Inequalities”, Konuralp J. Math., vol. 7, no. 1, pp. 112–116, 2019.
ISNAD Sarıkaya, Mehmet Zeki. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics 7/1 (April 2019), 112-116.
JAMA Sarıkaya MZ. On the New Wirtinger Type Inequalities. Konuralp J. Math. 2019;7:112–116.
MLA Sarıkaya, Mehmet Zeki. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics, vol. 7, no. 1, 2019, pp. 112-6.
Vancouver Sarıkaya MZ. On the New Wirtinger Type Inequalities. Konuralp J. Math. 2019;7(1):112-6.
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