Results 51 to 60 of about 250,699 (239)
A NOTE ON CONVEXITY OF CONVOLUTIONS OF HARMONIC MAPPINGS [PDF]
Bulletin of the Korean Mathematical Society, 2015 Abstract. In this paper, we study right half-plane harmonic mappingsf 0 and f, where f 0 is xed and f is such that its dilatation of a conformalautomorphism of the unit disk. We obtain a sucient condition for theconvolution of such mappings to be convex in the direction of the realaxis. The result of the paper is a generalization of the result of by Li
Jiang, Yue-Ping +3 more
openaire +4 more sources
Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
doaj +1 more source
ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS
Journal of the Korean Mathematical Society, 2006 We deflne and investigate a subclass of complex val- ued harmonic convex functions that are univalent and sense pre- serving in the open unit disk. We obtain coe-cient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Yalcin, Sibel, Ozturk, Metin
openaire +3 more sources
Non-Convex Planar Harmonic Maps
CoRR, 2020 We formulate a novel characterization of a family of invertible maps between two-dimensional domains. Our work follows two classic results: The Radó-Kneser-Choquet (RKC) theorem, which establishes the invertibility of harmonic maps into a convex planer domain; and Tutte's embedding theorem for planar graphs - RKC's discrete counterpart - which proves ...
Kovalsky, Shahar Z +5 more
openaire +2 more sources
Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
doaj +1 more source
Absolutely convex, uniformly starlike and uniformly convex harmonic mappings [PDF]
Complex Variables and Elliptic Equations, 2016 In this paper, we prove necessary and sufficient conditions for a sense-preserving harmonic function to be absolutely convex in the open unit disk. We also estimate the coefficient bound and obtain growth, covering and area theorems for absolutely convex harmonic mappings.
Ponnusamy, Saminathan +2 more
openaire +2 more sources
On a Subclass of Harmonic Convex Functions of Complex Order [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator.
Nanjundan Magesh, S. Mayilvaganan
openaire +2 more sources
Advanced Functional Materials, EarlyView.Two‐photon grayscale lithography (2GL) enables high‐speed and precise 3D printing of thermolyzed silica glass microstructures with optical‐grade surface quality, high quality factors, and mechanical strength utilizing a custom‐made pre‐glass resist based on polyhedral oligomeric silsesquioxane (POSS) modified with a high‐sensitivity Norrish type II ...
Jonathan L. G. Schneider +4 more
wiley +1 more source
Architecture‐Driven Functional Coupling in Vertically Aligned Nanocomposites
Advanced Functional Materials, EarlyView.Vertically aligned nanocomposites define a growth‐engineered architecture in which vertical interfaces, strain fields, defect pathways, and phase connectivity are created simultaneously. This review shows how these architectural features couple ferroic, optical, ionic, electrochemical, and device responses, establishing design rules and open challenges
Md Shatil Islam‐Shanto +4 more
wiley +1 more source
International Journal of Computational Intelligence Systems, 2022 The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan +4 more
doaj +1 more source