Search Results - "Yamancı, Ulas"
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New estimations for the Berezin number inequality
Published in Journal of inequalities and applications (18-02-2020)“…In this paper, by the definition of Berezin number, we present some inequalities involving the operator geometric mean. For instance, it is shown that if X , Y…”
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Berezin symbols and some problems on the Dirichlet space
Published in Indian journal of pure and applied mathematics (15-02-2024)Get full text
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A characterization of operators via Berezin symbol and related questions
Published in Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică (01-09-2023)“…In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number…”
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Refinements of some Berezin number inequalities and related questions
Published in The Journal of Analysis (01-03-2023)Get full text
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Further refinements of the Berezin number inequalities on operators
Published in Linear & multilinear algebra (19-12-2022)“…In this paper, we obtain some inequalities for the Berezin number of operators on reproducing kernel Hilbert spaces by using the Krein-Lin inequality and…”
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On the Berezin Number of Operators on the Reproducing Kernel of Hilbert Space and Related Problems
Published in Ukrainian mathematical journal (01-09-2024)“…We obtain some new inequalities for the Berezin number of operators via the Cauchy–Schwarz-type inequalities. Some other related problems are also discussed…”
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On Borel convergence of double sequences
Published in Communications Series A1 Mathematics & Statistics (01-07-2019)“…In this paper, we introduce the concept of (Ber)-convergence of bounded double sequences in the Fock space F(C²). We show that every (Ber)-convergent double…”
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Hardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related results
Published in Linear & multilinear algebra (03-04-2019)“…A reproducing kernel Hilbert space is a Hilbert space [Formula omitted.] of complex-valued functions on a (non-empty) set Ω, which has the property that point…”
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Berezin Number, Grüss-Type Inequalities and Their Applications
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-05-2020)“…In this paper, we study the Berezin number inequalities by using the transform C α , β A on reproducing kernel Hilbert spaces (RKHS). Moreover, we give…”
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Berezin number inequality for convex function in reproducing Kernel Hilbert Space
Published in Filomat (2017)“…By using Hardy-Hilbert?s inequality, some power inequalities for the Berezin number of a selfadjoint operators in Reproducing Kernel Hilbert Spaces (RKHSs)…”
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I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces
Published in Communications Series A1 Mathematics & Statistics (31-07-2019)“…In this paper, we introduce new concepts of I-statistical convergence and I-lacunary statistical convergence using weighted density via modulus functions…”
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I-Statistical convergence in 2-normed space
Published in Arab journal of mathematical sciences (01-01-2014)“…In this paper, we investigate the notion I-statistical convergence and I-statistical Cauchy sequence in 2-normed space, study of their relationship, and make…”
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Some results related to the Berezin number inequalities
Published in Turkish journal of mathematics (01-01-2019)Get full text
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On the summability methods of logarithmic type and the Berezin symbol
Published in Turkish journal of mathematics (01-01-2018)Get full text
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Operator inequalities in reproducing kernel Hilbert spaces
Published in Communications Series A1 Mathematics & Statistics (31-03-2022)Get full text
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Üretici çekirdekli hilbert uzaylarında berezin sembolleri ile ilgili bazı problemler: Some problems related with berezin symbols inrepreducing kernel hilbert spaces / İsmail Murat Karlı ; tez danışmanı, Doç.Dr. Ulaş Yamancı
Published 2021“…Bu tez çalışmasında üretici çekirdek ve Berezin sembolü teknikleri kullanılarak bazı problemlere cevap verilmeye çalışıldı. İlk olarak üretici çekirdek,…”
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Üretici çekirdekli Hilbert uzaylarında Hardy-Hilbert tipli eşitsizlikler: Hardy-Hilbert type inequalities in reproducing kernel Hilbert space / Ceren Çelik ; tez danışmanı, Yrd.Doç.Dr. Ulaş Yamancı
Published 2017“…Bu çalışmada ilk olarak konunun tarihsel gelişimi ifade edildi ve çalışmada kullanılan bazı tanım ve temel sonuçlar verildi. Daha sonra üretici çekirdekli…”
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Some results for operators on a model space
Published in Frontiers of mathematics in China (01-04-2018)“…We investigate some problems for truncated Toeplitz operators. Namely, the solvability of the Riccati operator equation on the set of all truncated Toeplitz…”
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