On Landau-Type Approximation Operators
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DOI: 10.1007/s00009-021-01712-w
Abstract: In this paper, we define and study a general class of convolution operators based on Landau operators. A property of these new operators is that they reproduce the affine functions, a feature less commonly encountered… read more here.
Keywords: type approximation; approximation operators; landau type;
Landau-Type Theorems for Certain Bounded Biharmonic Mappings
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DOI: 10.1007/s00025-019-1095-7
Abstract: In this paper, we establish three sharp versions of the Landau-type theorems for bounded biharmonic mappings $$F(z)=|z|^2G(z)+H(z)$$, where G(z) and H(z) are harmonic in the unit disk U with $$G(0)=H(0)=0$$ and $$\lambda _{F}(0)=||F_z(0)|-|F_{{\overline{z}}}(0)||=1$$. Our results… read more here.
Keywords: landau type; certain bounded; biharmonic mappings; theorems certain ... See more keywords
Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings
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DOI: 10.1007/s11785-018-0784-7
Abstract: In this paper, we first establish three new Landau-type theorems of polyharmonic mappings, which extend the related results of biharmonic mappings of earlier authors. Then three new Landau-type theorems of log-p-harmonic mappings are also provided. read more here.
Keywords: theorems polyharmonic; landau type; polyharmonic mappings; type theorems ... See more keywords
On Landau’s Type Estimates for Coefficients of Univalent Functions
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DOI: 10.1007/s40315-020-00333-w
Abstract: In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up to a constant and find upper and lower bounds for… read more here.
Keywords: landau type; coefficients univalent; estimates coefficients; univalent functions ... See more keywords
On the Generalized Method of Lines Applied to Ginzburg–Landau Type Equations
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DOI: 10.1007/s40819-016-0138-y
Abstract: The main focus of this work is the presentation of some new developments concerning the generalized method of lines (GMOL). We develop some examples about the method related to Ginzburg–Landau type equations. It is worth… read more here.
Keywords: landau type; ginzburg landau; type equations; generalized method ... See more keywords