Estimates of the numerical radius utilizing various function properties


STOJILJKOVIĆ V., GÜRDAL M.

Turkish Journal of Mathematics, cilt.49, sa.1, ss.48-64, 2025 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.55730/1300-0098.3573
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.48-64
  • Anahtar Kelimeler: integral type inequality, norm, Numerical radius
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

Numerous inequalities of the vector and numerical radius types have been found. We achieved several extensions of the well-known numerical radius type inequalities by using the function h described in the publication by Stojiljković and Dragomir in [30] and convexity characteristics with standard operator theory approaches. In particular, the following integral type numerical radius inequality has been obtained, that is (Formula presented.)