Results 31 to 40 of about 1,569 (191)
Potential Inequality with Hilbert Type Kernels
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 Abstract We generalize to the n-dimensional case the set of sufficient conditions on the kernel under which the maximum principle and the potential inequality hold, given by Rao and Šikić in the 1-dimensional case. These conditions are satisfied for Hilbert-type kernels and we are able to construct new families of exponentially convex functions.
Elezović, Neven +2 more
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Reverse Hilbert type inequalities [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, some reverse Hilbert-Pachpatte's type inequalities involving series of nonnegative terms are established, which provide new estimates on inequality of this type.
Zhao, Chang-Jian, Cheung, Wing-Sum
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AxiomsHilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
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A Hilbert Integral-Type Inequality with Parameters
International Journal of Mathematics and Mathematical Sciences, 2010 A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated.
Shang Xiaozhou, Gao Mingzhe
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Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
Advanced Intelligent Systems, EarlyView.We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
wiley +1 more source
Advanced Physics Research, EarlyView.A physics‐grounded framework based on decoherence timescales (τ_dec vs τ_func), Markovian validity, and falsifiability criteria is applied across molecular systems to distinguish where quantum effects are necessary, marginal, or irrelevant. The analysis integrates quantum chemistry, biological quantum mechanisms, and quantum computing under a unified ...
Sarfaraz K. Niazi
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A new discrete Hilbert-type inequality involving partial sums
Journal of Inequalities and Applications, 2019 In this paper, we derive a new discrete Hilbert-type inequality involving partial sums. Moreover, we show that the constant on the right-hand side of this inequality is the best possible. As an application, we consider some particular settings.
Vandanjav Adiyasuren +2 more
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On a half-discrete Hilbert-type inequality related to hyperbolic functions
Journal of Inequalities and Applications, 2021 By the introduction of a new half-discrete kernel which is composed of several exponent functions, and using the method of weight coefficient, a Hilbert-type inequality and its equivalent forms involving multiple parameters are established.
Minghui You
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Operator Jensen’s Inequality for Operator Superquadratic Functions
Axioms, 2022 In this work, an operator superquadratic function (in the operator sense) for positive Hilbert space operators is defined. Several examples with some important properties together with some observations which are related to the operator convexity are ...
Mohammad W. Alomari +2 more
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A Hilbert’s type inequality with two parameters
Filomat, 2018 In this paper, by introducing a parameter ? and ?, using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert?s type inequality.
Zhang, Zhengping, Xi, Gaowen
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