Results 31 to 40 of about 1,434,936 (326)
Concerning a Novel Integral Operator and a Specific Category of Starlike Functions
Mathematics, 2023 In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the widely recognized Opoola differential operator.
Ayotunde Olajide Lasode +4 more
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Positivity, Betweenness, and Strictness of Operator Means
Abstract and Applied Analysis, 2015 An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property.
Pattrawut Chansangiam
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AIMS Mathematics, 2023 The development of certain aspects of geometric function theory after incorporating fractional calculus and q-calculus aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Alina Alb Lupaş, Georgia Irina Oros
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Improved energy bounds for Schr\"odinger operators [PDF]
, 2014 Given a potential $V$ and the associated Schr\"odinger operator $-\Delta+V$, we consider the problem of providing sharp upper and lower bound on the energy of the operator.
Brasco, Lorenzo, Buttazzo, Giuseppe
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Weighted arithmetic–geometric operator mean inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic-geometric operator mean inequalities due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015) as follows: Let A and B be positive operators.
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A Survey on Operator Monotonicity, Operator Convexity, and Operator Means [PDF]
International Journal of Analysis, 2015 This paper is an expository devoted to an important class of real-valued functions introduced by Löwner, namely, operator monotone functions. This concept is closely related to operator convex/concave functions. Various characterizations for such functions are given from the viewpoint of differential analysis in terms of matrix of divided differences ...
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Study of Dynamic Solutions for Human–Machine System with Human Error and Common-Cause Failure
Mathematics, 2023 This work investigates a dynamic solution of human–machine systems with human error and common-cause failure. By means of functional analysis, it is proved that the semigroup generated by the underlying operator converges exponentially to a projection ...
Juan Zhao, Ehmet Kasim
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The Inequalities for Quasiarithmetic Means
Abstract and Applied Analysis, 2012 Overview and refinements of the results are given for discrete, integral, functional and operator variants of inequalities for quasiarithmetic means. The general results are applied to further refinements of the power means.
Jadranka Mićić +2 more
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On ergodic operator means in Banach spaces
, 2015 We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the
Aleman, Alexandru, Suciu, Laurian
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Order of operators determined by operator mean [PDF]
Tohoku Mathematical Journal, 2015 Let $\sigma$ be an operator mean and $f$ a non-constant operator monotone function on $(0,\infty)$ associated with $\sigma$. If operators $A, B$ satisfy $0\le A \le B$, then it holds that $Y \sigma (tA+X) \le Y \sigma (tB+X)$ for any non-negative real number $t$ and any positive, invertible operators $X,Y$. We show that the condition $ Y \sigma (tA+X) \
Nagisa, Masaru, Uchiyama, Mitsuru
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