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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An Extended Hilbert-Type Inequality with Two Internal Variables Involving One Partial Sums
By the use of the techniques of analysis and some useful formulas, we give a new extension of Hilbert-type inequality with two internal variables involving one partial sums, which is a refinement of a published inequality.
Aizhen Wang, Bicheng Yang
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On an Extension of a Hardy–Hilbert-Type Inequality with Multi-Parameters
Making use of weight coefficients as well as real/complex analytic methods, an extension of a Hardy–Hilbert-type inequality with a best possible constant factor and multiparameters is established.
Bicheng Yang +2 more
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A relation between two simple Hardy-Mulholland-type inequalities with parameters
By means of weight coefficients and the technique of real analysis, a new Hardy-Mulholland-type inequality with the kernel K λ ( m , n ) : = 1 ln λ U m + ln λ V n + α | ln λ U m − ln λ V n | $$ K_{\lambda}(m,n):=\frac{1}{\ln^{\lambda}U_{m}+\ln^{\lambda ...
Qiang Chen, Yanping Shi, Bicheng Yang
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Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar [PDF]
For the case of transformer with a number of windings four or more, the number of pair short-circuit impedances are morethan the number of beams of the corresponding star, which makes it impossible to obtain a sufficiently correct equivalent scheme in ...
Suslov V.M., Bosneaga V.A.
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A discrete Hilbert-type inequality in the whole plane
By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given.
Dongmei Xin, Bicheng Yang, Qiang Chen
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On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel
By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent
Ricai Luo, Bicheng Yang, Xingshou Huang
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Influence of equivalent stiffness form from stern bearing to transverse vibration of shafting
ObjectivesDue to the larger length-to-diameter ratio of the stern bearing, it is difficult to reflect its actual operating conditions when simplified to the traditional equivalent model of single-point support.
Huihui ZHOU +4 more
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On the form equivalence of L-forms
AbstractIn [5] the notion of an L form F defining a family Ld(F) of languages by means of X-interpretations has been introduced. Here X is one of a number of possible variations of the notion of interpretation originally used in [1] for grammar forms. In this paper it is shown that the questions whether Ld(F) = Ld(F1) for L forms F and F1 is decidable,
Hermann A. Maurer +2 more
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On a new Hardy-Mulholland-type inequality and its more accurate form
Using weight coefficients and applying the well-known Hermite-Hadamard inequality, a new Hardy-Mulholand-type inequality with a best possible constant factor is given.
Aihua Li, Bicheng Yang, Leping He
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