Research Article

On the New Wirtinger Type Inequalities

Volume: 7 Number: 1 April 15, 2019
EN

On the New Wirtinger Type Inequalities

Abstract

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



Keywords

References

  1. [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. [2] M. W. Alomari, On Beesack–Wirtinger Inequality, Results Math 72 (2017), 1213–1225
  3. [3] P. R. Beesack, Integral inequalities involving a function and its derivative, Amer. Math. Monthly 78 (1971), 705–741.
  4. [4] P. R. Beesack, Integral inequalities of the Wirtinger type, Duke Math. J. 25, 477-498, (1958).
  5. [5] P. R. Beesack, Hardy’s inequality and its extensions, Pacific J. Math. 11 (1961), 39–61.
  6. [6] G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, 1988.
  7. [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. [8] J. Jaros, On an integral inequality of the Wirtinger type, Applied Mathematics Letters 24 (2011) 1389–1392.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 15, 2019

Submission Date

March 25, 2019

Acceptance Date

April 2, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Sarıkaya, M. Z. (2019). On the New Wirtinger Type Inequalities. Konuralp Journal of Mathematics, 7(1), 112-116. https://izlik.org/JA66UK37FR
AMA
1.Sarıkaya MZ. On the New Wirtinger Type Inequalities. Konuralp J. Math. 2019;7(1):112-116. https://izlik.org/JA66UK37FR
Chicago
Sarıkaya, Mehmet Zeki. 2019. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics 7 (1): 112-16. https://izlik.org/JA66UK37FR.
EndNote
Sarıkaya MZ (April 1, 2019) On the New Wirtinger Type Inequalities. Konuralp Journal of Mathematics 7 1 112–116.
IEEE
[1]M. Z. Sarıkaya, “On the New Wirtinger Type Inequalities”, Konuralp J. Math., vol. 7, no. 1, pp. 112–116, Apr. 2019, [Online]. Available: https://izlik.org/JA66UK37FR
ISNAD
Sarıkaya, Mehmet Zeki. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 112-116. https://izlik.org/JA66UK37FR.
JAMA
1.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, Apr. 2019, pp. 112-6, https://izlik.org/JA66UK37FR.
Vancouver
1.Mehmet Zeki Sarıkaya. On the New Wirtinger Type Inequalities. Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):112-6. Available from: https://izlik.org/JA66UK37FR
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