New inequalities for some quadratic forms and related results

QARAYEV R., Rajawat R. S., Garayev M., Rathour L., Mishra V. N.

Filomat, vol.39, no.10, pp.3279-3287, 2025 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 39 Say: 10
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.2298/fil2510279t
  • jurnalın adı: Filomat
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.3279-3287
  • Açar sözlər: Berezin symbol, Convex function, Jensen type inequality, Positive operator, Self adjoint operator
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

We prove some new Jensen type inequalities for the Berezin symbol of self-adjoint operators and some class of positive operators on the reproducing kernel Hilbert space H(Ω) over some set Ω. Recall that the Berezin symbol à of operator A on H(Ω) is defined by the following special type of quadratic form: (Formula Presented), where kλ is the reproducing kernel of the space (Formula Presented) for all (Formula Presented) is the normalized reproducing kernel.