Refinements of Kantorovich type, Schwarz and Berezin number inequalities
Mübariz Garayev, Fethi Bouzeffour, Mehmet Gürdal, C.M. Yangöz
Abstract
In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f (A), where A is self-adjoint operator on the Hardy space H 2(D) and f is a positive continuous function. Some related questions are also discussed.
Topics & Concepts
MathematicsType (biology)InequalityPure mathematicsOrder (exchange)Cauchy–Schwarz inequalityOperator (biology)Algebra over a fieldMathematical analysisCalculus (dental)GeologyMedicineFinanceDentistryRepressorChemistryPaleontologyGeneEconomicsTranscription factorBiochemistryMathematical Inequalities and ApplicationsAnalytic and geometric function theoryMathematics and Applications