Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 1, 112 - 116, 15.04.2019

Öz

Kaynakça

  • [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

Yıl 2019, Cilt: 7 Sayı: 1, 112 - 116, 15.04.2019

Öz

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



Kaynakça

  • [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).
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Mehmet Zeki Sarıkaya 0000-0002-6165-9242

Yayımlanma Tarihi 15 Nisan 2019
Gönderilme Tarihi 25 Mart 2019
Kabul Tarihi 2 Nisan 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 1

Kaynak Göster

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. Nisan 2019;7(1):112-116.
Chicago Sarıkaya, Mehmet Zeki. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics 7, sy. 1 (Nisan 2019): 112-16.
EndNote Sarıkaya MZ (01 Nisan 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., c. 7, sy. 1, ss. 112–116, 2019.
ISNAD Sarıkaya, Mehmet Zeki. “On the New Wirtinger Type Inequalities”. Konuralp Journal of Mathematics 7/1 (Nisan 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, c. 7, sy. 1, 2019, ss. 112-6.
Vancouver Sarıkaya MZ. On the New Wirtinger Type Inequalities. Konuralp J. Math. 2019;7(1):112-6.
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