New Ostrowski type inequalities for mappings whose derivatives belong to Lp spaces

• Autorzy: Pachpatte B.
• Języki publikacji: EN

Abstrakty

EN

The aim of the present paper is to establish two new Ostrowski type inequalities for mappings whose derivatives belongs to Lp -spaces. The analysis used in the proofs is elementary and our results in the special cases yields the Ostrowski type inequality recently established by Dragomir and Wang.

Słowa kluczowe

EN

Ostrowski type inequalities; Peano Kernel; Montgomery's identity; Holder's integral inequality

PL

nierówności; nierówności integralne; nierówności Ostrowskiego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 293--298
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Pachpatte B.

• 57, Shri Niketen Coloney, Near Abhinay Talkies, Aurangabad 431001, Maharashtra, India

Bibliografia

• [1] P. Cerone, S. S. Dragomir and J. Roumeliotis, An inequality of Ostrowski type for mappings whose second derivatives are bounded and applications, RGMIA Research Report Collection, Vol. 1, No. 1 (1998), 33-39.
• [2] S. S. Dragomir and S. Wang, A new inequality of Ostrowski type in Lp norm, Indian. J. Math. 40 (3) (1998), 299-304.
• [3] S. S. Dragomir and S. Wang, Applications of Ostriowski's inequality to the estimation of error bounds for some special means and some quadrature rules, Appl. Math. Lett. 11 (1998), 105-109.
• [4] D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Inequalities for Functions and their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1994.