On new Ostrowski type inequalities

• Autorzy: Liu, W. , Dong, J.
• Języki publikacji: EN

Abstrakty

EN

In this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong to Lp[a,b], p > 1 are established.

Słowa kluczowe

PL

nierówności Ostrowskiego; nierówności integralne Holders'a

EN

Ostrowski type inequalities; Holder's integral inequality; properties of modulus

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 317-322
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Liu, W.

autor

Dong, J.

• College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China,

Bibliografia

• [1] S. S. Dragomir and S. Wang, A new inequality of Ostrowski's type in Lp norm, Indian J. Math. 40 (3) (1998), 299-304.
• [2] S. S. Dragomir and S. Wang, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. Math. Lett. 11 (1998), 105-109.
• [3] S. S. Dragomir, P. Cerone and J. Roumeliotis, A new generalization of Ostrowski's intergral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means, Appl. Math. Lett. 13 (2000), 19-25.
• [4] W. J. Liu, C. C. Li and J. W. Dong, Note on Qi's inequality and Bougoffa's inequality, J. Inequal. Pure Appl. Math. 7 (4) (2006), Art. 129.
• [5] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Inequalities for Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordricht-Boston-London, 1994.
• [6] B. G. Pachpatte, A note on Ostrowski like inequalities, J. Inequal. Pure and Appl. Math. 6 (4) (2005), Art. 114.