Results 11 to 20 of about 206,253 (185)
On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
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New norm equalities and inequalities for operator matrices
Journal of Inequalities and Applications, 2016 We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
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Best approximation of κ-random operator inequalities in matrix MB-algebras
Journal of Inequalities and Applications, 2021 We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras.
Masoumeh Madadi +3 more
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INEQUALITIES CONCERNING B-OPERATORS
Issues of Analysis, 2016 Summary: Let \(\mathcal{P}_{n}\) be the class of polynomials of degree at most \(n\). Rahman introduced the class \(\mathcal {B}_{n}\) of operators \(B\) that map \(\mathcal {P}_{n}\) into itself. In this paper we prove some results concerning such operators and thereby obtain generalizations of some well known polynomial inequalities.
WALI S.L., SHAH W.M., LIMAN A.
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A Grüss type operator inequality [PDF]
Annals of Functional Analysis, 2017 In [P. Renaud, "A matrix formulation of Gr\"uss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional. In this article, we give a refinement of such result and we answer positively the Renaud's open problem.
Bottazzi, T., Conde, C.
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Journal of Function Spaces, 2022 This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao +4 more
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Operator iteration on the Young inequality
Journal of Inequalities and Applications, 2016 In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
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Time-Scale Integral Inequalities of Copson with Steklov Operator in High Dimension
Journal of Mathematics, 2022 The paper derives some new time-scale (TS) dynamic inequalities for multiple integrals. The obtained inequalities are special cases of Copson integral using Steklov operator in (TS) version with high dimension.
Wedad Albalawi
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High Order Riesz Transforms and Mean Value Formula for Generalized Translate Operator [PDF]
, 2013 In this paper, the mean value formula depends on the Bessel generalized shift operator corresponding to the solutions of the boundary value problem related to the Bessel operator are studied.
Ekincioglu, I., Keskin, C., Sayan, H. H.
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