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

• Autorzy: Jleli Mohamed , Samet Bessem

Identyfikatory

DOI

10.1515/dema-2024-0055

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

α-convex sequences; convex sequences; Fejér-type inequalities; second-order difference equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20240055
• Opis fizyczny: Bibliogr. 46 poz.

Twórcy

autor

Jleli Mohamed

• Department of Mathematics, College of Science, King Saud University, Riyadh, 11451, Saudi Arabia

autor

Samet Bessem

• Department of Mathematics, College of Science, King Saud University, Riyadh, 11451, Saudi Arabia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2026).