Results 51 to 60 of about 7,255,580 (206)
On a half-discrete Hilbert-type inequality related to hyperbolic functions
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
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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On Hilbert's type inequalities
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ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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In this paper, by introducing a general homogeneous kernel function and several parameters, we establish a new Hardy–Hilbert-type integral inequality involving two derivative functions of higher-order.
Bicheng Yang, Shanhe Wu, Xianyong Huang
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Social Sustainability in Circular Bioeconomy Business Models: Insights From Argentina
ABSTRACT Research on circular bioeconomy business models (CBEBM) has largely prioritised environmental and economic aspects, leaving out the social pillar. To address this gap, this paper analyses to what extent and in what ways social sustainability is integrated into CBEBM, based on 12 cases from northern Argentina, a region with high potential for ...
Celina N. Amato +2 more
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On a New Hilbert-Hardy-Type Integral Operator and Applications
By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
Yang Bicheng, Liu Xingdong
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By using the construction theorem of semi-discrete Hilbert-type inequalities with quasi-homogeneous kernels and real analysis techniques, this paper establishes a semi-discrete Hilbert-type inequality involving partial sums and variable upper limit ...
Yong Hong, Bing He, Qian Zhao
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An Equivalent Form Related to a Hilbert-Type Integral Inequality
In the present paper, we establish an equivalent form related to a Hilbert-type integral inequality with a non-homogeneous kernel and a best possible constant factor. We also consider the case of homogeneous kernel as well as certain operator expressions.
Michael Th. Rassias +2 more
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Hilbert-Type Inequalities Revisited [PDF]
Considering different parameters, Hilbert-type integral inequality for functions f(x), g(x) in L2[0, ∞) will be generalized.
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