Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu

100%

Armao F., Głazowska D., Rivas S., Rojas J.

Open Mathematics

2013

tom 11

nr 2

357-367

We prove that if the composition operator F generated by a function f: [a, b] × ℝ → ℝ maps the space of bounded (p, k)-variation in the sense of Riesz-Popoviciu, p ≥ 1, k an integer, denoted by RV(p,k)[a, b], into itself and is uniformly bounded then RV(p,k)[a, b] satisfies the Matkowski condition.

Remarks on strongly Wright-convex functions

100%

Merentes N., Nikodem K., Rivas S.

Annales Polonici Mathematici

2011

tom 102

nr 3

271-278

Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

2 Rivas S.

1 Armao F.

1 Głazowska D.

1 Merentes N.

1 Nikodem K.

1 Rojas J.

1 2013

1 2011

Wyniki wyszukiwania

Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu

Remarks on strongly Wright-convex functions