Weighted Cebysev- and Ostrowski-type inequalities on time scales

Sarikaya M. Z., Budak H.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.22, sa.03, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 03
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0219887824502918
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we first obtain a new identity for time scales by using a weighted kernel. Then, by using this equality, we prove a weighted Ceby sev inequality. Moreover, we establish a weighted Ostrowski-type inequality by using a method which is different from among in the literature.