On the sign of L(f) and its "error term" when f is an n-convex function

• Autorzy: Mercer A. McD. , Mercer P. R.
• Języki publikacji: EN

Abstrakty

EN

A method is presented for finding the sign and defect of a linear functional L when it operates on an n-convex function.

Słowa kluczowe

EN

linear functional; error term; positivity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 2
• Strony: 223--231
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Mercer A. McD.

• Department of Mathematics and Statistics University of Guelph Guelph, Ontario, Canada

autor

Mercer P. R.

• Department of Mathematics Buffalo State College Buffalo, New York

Bibliografia

• [1] I. P. Natanson, Theory of Functions of a Real Variable, Vol 1, Frederick Ungar, New York, 1964.
• [2] A. M. Fink, Estimating the defect in Jensen’s inequality, Publ. Math. Debrecen, 69 (2006), 451–455.
• [3] A. Mcd. Mercer, An “error term” for the Ky Fan inequality, J. Math. Anal. Appl. 220 (1998), 774–777.
• [4] A. Ralston, P. Rabinowitz. A First Course in Numerical Analysis, McGraw-Hill, (1965).