Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces
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In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.
Keywords:
convex functions / self-adjoint operators / tensorial productSource:
Symmetry, 2024, 16, 1, 121-Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia
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VinčaTY - JOUR AU - Stojiljković, Vuk AU - Mirkov, Nikola AU - Radenović, Stojan PY - 2024 UR - https://vinar.vin.bg.ac.rs/handle/123456789/12722 AB - In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type. T2 - Symmetry T1 - Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces VL - 16 IS - 1 SP - 121 DO - 10.3390/sym16010121 ER -
@article{ author = "Stojiljković, Vuk and Mirkov, Nikola and Radenović, Stojan", year = "2024", abstract = "In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.", journal = "Symmetry", title = "Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces", volume = "16", number = "1", pages = "121", doi = "10.3390/sym16010121" }
Stojiljković, V., Mirkov, N.,& Radenović, S.. (2024). Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces. in Symmetry, 16(1), 121. https://doi.org/10.3390/sym16010121
Stojiljković V, Mirkov N, Radenović S. Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces. in Symmetry. 2024;16(1):121. doi:10.3390/sym16010121 .
Stojiljković, Vuk, Mirkov, Nikola, Radenović, Stojan, "Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces" in Symmetry, 16, no. 1 (2024):121, https://doi.org/10.3390/sym16010121 . .