Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions

• Autorzy: Cerone P. , Dragomir S.
• Języki publikacji: EN

Abstrakty

EN

Ostrowski type inequalities for absolutely continuous functions whose derivatives satisfy certain convexity assumptions are pointed out.

Słowa kluczowe

EN

Ostrowski type inequalities; convex functions; quasi-convex functions

PL

funkcje wypukłe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 299--308
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Cerone P.

• School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC 8001, Victoria, Australia

autor

Dragomir S.

• School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC 8001, Victoria, Australia

Bibliografia

• [1] N. S. Barnett, P. Cerone, S. S. Dragomir, M. R. Pinheiro a nd A. Sofo, Ostrowski type inequalities for functions whose modulus of derivatives are convex and applications, RGMIA Res. Rep. Coll. 5(2) (2002), Article 1. [on-line: http://rgmia.vu.edu.au/v5n2.html]
• [2] S. S. Dragomir and A. Sofo, Ostrowski type inequalities for functions whose derivatives are convex, Proceedings of the 4th International Conference on Modelling & Simulation, November 11-13, 2002. Victoria University, Melbourne, Australia. RGMIA Res. Rep. Coll. 5 (2002), Supplement, Article 30. [on-line: http://rgmia.vu.edu.au/v5(E) .html]
• [3] S. S. Dragomir and Th. M. Rassias, (Eds.) Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer Academic Publishers, Dordrecht/Boston/London, 2002.
• [4] S. S. Dragomir, C. E. M. Pearce, Quasi-convex functions and Hadamard's inequality, Bull. Australian Math. Soc. 57 (1998), 377-385.