Results 41 to 50 of about 2,327 (208)
Axioms, 2023 In this paper, we provide different variants of the Hermite–Hadamard (H⋅H) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-convex FNVM) in the ...
Muhammad Bilal Khan +4 more
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Harmonic mappings of an annulus, Nitsche conjecture and its generalizations [PDF]
, 2009 As long ago as 1962 Nitsche conjectured that a harmonic homeomorphism $h \colon A(r,R) \to A(r_*, R_*)$ between planar annuli exists if and only if $\frac{R_*}{r_*} \ge {1/2} (\frac{R}{r} + \frac{r}{R})$.
Iwaniec, Tadeusz +2 more
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Cumhuriyet Science Journal, 2019 In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
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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
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Harmonic beta-convex functions involving hypergeometric functions
Publications de l'Institut Mathematique, 2018 Summary: We introduce and study a new class of harmonic convex functions, which is called harmonic beta-convex functions. This new class includes several new and previously known classes of harmonic convex functions as special cases. We obtain some new integral inequalities involving hypergeometric functions.
Noor, Muhammad Aslam +2 more
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Comparison of shearography to scanning laser vibrometry as methods for local stiffness identification of beams [PDF]
, 2013 Local stiffness of Euler–Bernoulli beams can be identified by dividing the bending moment of a deformed beam by the local curvature. Curvature and moment distributions can be derived from the modal shape of a beam vibrating at resonance. In this article,
Gu, Jun +5 more
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Coefficient Conditions for Harmonic Close‐to‐Convex Functions [PDF]
Abstract and Applied Analysis, 2012 New sufficient conditions, concerned with the coefficients of harmonic functions in the open unit disk 𝕌 normalized by f(0) = h(0) = h′(0) − 1 = 0, for f(z) to be harmonic close‐to‐convex functions are discussed. Furthermore, several illustrative examples and the image domains of harmonic close‐to‐convex functions satisfying the obtained conditions ...
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Harmonic close-to-convex functions and minimal surfaces [PDF]
Complex Variables and Elliptic Equations, 2013 In this paper, we study the family ${\mathcal C}_{H}^0$ of sense-preserving complex-valued harmonic functions $f$ that are normalized close-to-convex functions on the open unit disk $\mathbb{D}$ with $f_{\bar{z}}(0)=0$. We derive a sufficient condition for $f$ to belong to the class $\CC_{H}^0$.
Ponnusamy, Saminathan +3 more
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On Fully-Convex Harmonic Functions and their Extension
Boletim da Sociedade Paranaense de Matemática, 2018 Uniformly convex univalent functions that introduced by Goodman, maps every circular arc contained in the open unit disk with center in it into a convex curve. On the other hand, a fully-convex harmonic function, maps each subdisk $|z|=r<1$ onto a convex curve. Here we synthesis these two ideas and introduce a family of univalent harmonic
Shahpour Nosrati, Ahmad Zireh
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Two-boson Correlations in Various One-dimensional Traps
, 2010 A one-dimensional system of two trapped bosons which interact through a contact potential is studied using the optimized configuration interaction method.
A. Okopińska +7 more
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