Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: α-convex sequences

Sortuj według:

Ogranicz wyniki do:

On a discrete version of Fejér inequality for α-convex sequences without symmetry condition

Jleli Mohamed, Samet Bessem

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20240055

In this study, we introduce the notion of α-convex sequences which is a generalization of the convexity concept. For this class of sequences, we establish a discrete version of Fejér inequality without imposing any symmetry condition. In our proof, we use a new approach based on the choice of an appropriate sequence, which is the unique solution to a certain second-order difference equation. Moreover, we obtain a refinement of the standard (right) Fejér inequality for convex sequences.