Araştırma Makalesi
BibTex RIS Kaynak Göster

On the Generalization of Opial Type Inequality for Convex Function

Yıl 2019, Cilt: 7 Sayı: 2, 456 - 461, 15.10.2019

Mehmet Zeki Sarıkaya

Öz

In this article, by using new different approach method, we establish some generalization of Opial like inequality for convex mappings.

Anahtar Kelimeler

Opial inequality convex function.

Kaynakça

  • [1] R.P. Agarwal and P.Y.H. Pang, Opial inequalities with applications in differential and difference equations, Mathematics and Its Applications book series (MAIA, volume 320), Kluwer Academic Publishers, London, 1995.
  • [2] W.S. Cheung, Some new Opial-type inequalities, Mathematika, 37 (1990), 136–142.
  • [3] W.S. Cheung, Some generalized Opial-type inequalities, J. Math. Anal. Appl., 162 (1991), 317– 321.
  • [4] E.K. Godunova and V.l. Levin, On an inequality of Maroni, (Russian), Mat. Zametki 2(1967), 221-224.
  • [5] X. G. He, A short of a generalization on Opial’ s inequailty,Journal of Mathematical Analysis and Applications,182, (1994), 299-300.
  • [6] P. Maroni, Sur l’in´egalit´e d’Opial-Beesack, C. R. Acad. Sci. Paris Ser. A-B, 264 (1967), A62–A64.
  • [7] Hua L.K., On an inequality of Opial, Sci China., 14(1965), 789-790.
  • [8] C. Olech, A simple proof of a certain result of Z. Opial. Ann. Polon. Math. 8 (1960), 61–63.
  • [9] Z. Opial, Sur une inegaliti, Ann. Polon. Math. 8 (1960), 29-32.
  • [10] B. G. Pachpatte, On Opial-type integral inequalities , J. Math. Anal. Appl. 120 (1986), 547–556.
  • [11] B. G. Pachpatte, Some inequalities similar to Opial’s inequality , Demonstratio Math. 26 (1993), 643–647.
  • [12] B. G. Pachpatte, A note on some new Opial type integral inequalities, Octogon Math. Mag. 7 (1999), 80–84.
  • [13] B. G. Pachpatte, On some inequalities of the Weyl type, An. Stiint. Univ. “Al.I. Cuza” Iasi 40 (1994), 89–95.
  • [14] S.H. Saker, M.D. Abdou and I. Kubiaczyk, Opial and Polya type inequalities via convexity, Fasciculi Mathematici, 60(1), 145–159, 2018.
  • [15] H. M. Srivastava, K.-L. Tseng, S.-J. Tseng and J.-C. Lo, Some weighted Opial-type inequalities on time scales, Taiwanese J. Math., 14 (2010), 107–122.
  • [16] C.-J. Zhao and W.-S. Cheung, On Opial-type integral inequalities and applications. Math. Inequal. Appl. 17 (2014), no. 1, 223–232.
  • [17] F. H. Wong, W. C. Lian, S. L. Yu and C. C. Yeh, Some generalizations of Opial’s inequalities on time scales, Taiwanese Journal of Mathematics, Vol. 12, Number 2, April 2008, Pp. 463–471.

Yıl 2019, Cilt: 7 Sayı: 2, 456 - 461, 15.10.2019

Mehmet Zeki Sarıkaya

Öz

Kaynakça

  • [1] R.P. Agarwal and P.Y.H. Pang, Opial inequalities with applications in differential and difference equations, Mathematics and Its Applications book series (MAIA, volume 320), Kluwer Academic Publishers, London, 1995.
  • [2] W.S. Cheung, Some new Opial-type inequalities, Mathematika, 37 (1990), 136–142.
  • [3] W.S. Cheung, Some generalized Opial-type inequalities, J. Math. Anal. Appl., 162 (1991), 317– 321.
  • [4] E.K. Godunova and V.l. Levin, On an inequality of Maroni, (Russian), Mat. Zametki 2(1967), 221-224.
  • [5] X. G. He, A short of a generalization on Opial’ s inequailty,Journal of Mathematical Analysis and Applications,182, (1994), 299-300.
  • [6] P. Maroni, Sur l’in´egalit´e d’Opial-Beesack, C. R. Acad. Sci. Paris Ser. A-B, 264 (1967), A62–A64.
  • [7] Hua L.K., On an inequality of Opial, Sci China., 14(1965), 789-790.
  • [8] C. Olech, A simple proof of a certain result of Z. Opial. Ann. Polon. Math. 8 (1960), 61–63.
  • [9] Z. Opial, Sur une inegaliti, Ann. Polon. Math. 8 (1960), 29-32.
  • [10] B. G. Pachpatte, On Opial-type integral inequalities , J. Math. Anal. Appl. 120 (1986), 547–556.
  • [11] B. G. Pachpatte, Some inequalities similar to Opial’s inequality , Demonstratio Math. 26 (1993), 643–647.
  • [12] B. G. Pachpatte, A note on some new Opial type integral inequalities, Octogon Math. Mag. 7 (1999), 80–84.
  • [13] B. G. Pachpatte, On some inequalities of the Weyl type, An. Stiint. Univ. “Al.I. Cuza” Iasi 40 (1994), 89–95.
  • [14] S.H. Saker, M.D. Abdou and I. Kubiaczyk, Opial and Polya type inequalities via convexity, Fasciculi Mathematici, 60(1), 145–159, 2018.
  • [15] H. M. Srivastava, K.-L. Tseng, S.-J. Tseng and J.-C. Lo, Some weighted Opial-type inequalities on time scales, Taiwanese J. Math., 14 (2010), 107–122.
  • [16] C.-J. Zhao and W.-S. Cheung, On Opial-type integral inequalities and applications. Math. Inequal. Appl. 17 (2014), no. 1, 223–232.
  • [17] F. H. Wong, W. C. Lian, S. L. Yu and C. C. Yeh, Some generalizations of Opial’s inequalities on time scales, Taiwanese Journal of Mathematics, Vol. 12, Number 2, April 2008, Pp. 463–471.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Mehmet Zeki Sarıkaya 0000-0002-6165-9242

Yayımlanma Tarihi 15 Ekim 2019
Gönderilme Tarihi 31 Temmuz 2019
Kabul Tarihi 30 Eylül 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 2

Kaynak Göster

APA Sarıkaya, M. Z. (2019). On the Generalization of Opial Type Inequality for Convex Function. Konuralp Journal of Mathematics, 7(2), 456-461.
AMA Sarıkaya MZ. On the Generalization of Opial Type Inequality for Convex Function. Konuralp J. Math. Ekim 2019;7(2):456-461.
Chicago Sarıkaya, Mehmet Zeki. “On the Generalization of Opial Type Inequality for Convex Function”. Konuralp Journal of Mathematics 7, sy. 2 (Ekim 2019): 456-61.
EndNote Sarıkaya MZ (01 Ekim 2019) On the Generalization of Opial Type Inequality for Convex Function. Konuralp Journal of Mathematics 7 2 456–461.
IEEE M. Z. Sarıkaya, “On the Generalization of Opial Type Inequality for Convex Function”, Konuralp J. Math., c. 7, sy. 2, ss. 456–461, 2019.
ISNAD Sarıkaya, Mehmet Zeki. “On the Generalization of Opial Type Inequality for Convex Function”. Konuralp Journal of Mathematics 7/2 (Ekim 2019), 456-461.
JAMA Sarıkaya MZ. On the Generalization of Opial Type Inequality for Convex Function. Konuralp J. Math. 2019;7:456–461.
MLA Sarıkaya, Mehmet Zeki. “On the Generalization of Opial Type Inequality for Convex Function”. Konuralp Journal of Mathematics, c. 7, sy. 2, 2019, ss. 456-61.
Vancouver Sarıkaya MZ. On the Generalization of Opial Type Inequality for Convex Function. Konuralp J. Math. 2019;7(2):456-61.
 Kapak Resmi İndir
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.