Search Results - "Dubinin, V. N."

Teichmüller’s Modulsatz and the Variation of the Dirichlet Integral by Dubinin, V. N.

“…We show that changing the level curve of a harmonic function with the classical Hadamard variation with a small parameter entails a change in the Dirichlet…”
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Distortion and Critical Values of the Finite Blaschke Product by Dubinin, V. N.

“…We establish a sharp upper bound for the absolute value of the derivative of the finite Blaschke product, provided that the critical values of this product lie…”
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Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus by Dubinin, V. N.

“…New distortion theorems are proved for holomorphic univalent functions bounded in a circular annulus and preserving one of its boundary components. In…”
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On Holomorphic Coverings of Planar Domains by Dubinin, V. N.

“…We have previously shown that a -fold holomorphic covering of a domain in the complex plane by another domain is extremal in the majorization principle for…”
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Sharp Inequalities for Rational Functions on a Circle by Dubinin, V. N.

“…For rational functions with prescribed poles lying outside the unit circle , sharp inequalities are established at points , . In contrast to known results, the…”
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Asymptotics for the Capacity of a Condenser with Variable Potential Levels by Dubinin, V. N.

“…The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. In contrast to the…”
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The Schwarzian Derivative of a p-Valent Function by Dubinin, V. N.

“…We show that a comparison of the capacities of suitable condensers gives an inequality for the Schwarzian derivatives of a holomorphic p -valent function…”
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On the Dual Mean-Value Conjecture for Complex Polynomials by Dubinin, V. N.

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Lemniscate Zone and Distortion Theorems for Multivalent Functions. II by Dubinin, V. N.

“…For meromorphic circumferentially mean p -valent functions, an analog of the classical distortion theorem is proved. It is shown that the existence of…”
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Green energy and extremal decompositions by Dubinin, V. N.

“…We give two precise estimates for the Green energy of a discrete charge, concentrated in an even number of points on the circle, with respect to the concentric…”
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The Kraus inequality for multivalent functions by Dubinin, V. N.

“…For a holomorphic function f , f ′(0) ≠ 0, in the unit disk U, we establish a geometric constraint on the image f ( U ) for which the classical Kraus…”
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The logarithmic energy of zeros and poles of a rational function by Dubinin, V. N.

“…On assuming that certain lemniscates of a rational function are connected, we establish some sharp inequality that involves the logarithmic energy of a…”
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Critical Values of Finite Blaschke Products by Dubinin, V. N.

“…For finite Blaschke products B of degree a sharp upper bound for the least critical values and a sharp lower bound for the greatest critical values of these…”
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An extremal problem for the derivative of a rational function by Dubinin, V. N.

“…Erdős’ well-known problem on the maximum absolute value of the derivative of a polynomial on a connected lemniscate is extended to the case of a rational…”
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Lemniscate Zone and Distortion Theorems for Multivalent Functions by Dubinin, V. N.

“…The impact of the connectivity of some lemniscates of a multivalent function on the absolute value of this function or its derivative is considered…”
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Pólya–Schur Inequality and the Green Energy of a Discrete Charge by Dubinin, V. N.

“…The classical Pólya–Schur inequality for the logarithmic energy of a point charge distributed on a circle is generalized to the Green energy with respect to…”
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Critical Values and Moduli of the Derivative of a Complex Polynomial at its Zeros by Dubinin, V. N.

“…Under some constraints on the critical values of an algebraic polynomial with complex coefficients, a sharp inequality for the product of certain powers of…”
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THE USE OF SPARQL LANGUAGE IN ONTOLOGICAL MODELING OF MULTI-AGENT SYSTEMS IN SEMANTIC WEB by Dubinin, V. N., Dubinin, A. V., Yang, C.-W., Vyatkin, V. V.

“…Background. The widespread use of multi-agent systems conception and technologies of the semantic Web, as well as the beginning of their active joint use in…”
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Four-point distortion theorem for complex polynomials by Dubinin, V.N.

“…We prove a theorem on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values. Its…”
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Two-sided bounds for the logarithmic capacity of multiple intervals by Dubinin, V. N., Karp, D.

“…Potential theory on the complement of a subset of the real axis attracts much attention in both function theory and applied sciences. This paper discusses one…”
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