Results 1 to 10 of about 55,098 (316)
Monotonicity, convexity, and inequalities for the generalized elliptic integrals
Journal of Inequalities and Applications, 2017 We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals K a ( r ) $\mathscr{K}_{a}(r)$ and E a ( r ) $\mathscr {E}_{a}(r)$ depending on a parameter a ∈ ( 0 , 1 ) $a\in(0,1)$ , which contains an earlier
Tiren Huang, Shenyang Tan, Xiaohui Zhang
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Infinitesimal Convexity Implies Local Convexity [PDF]
Indiana University Mathematics Journal, 1974 (the tangent space at p) such that expU has no points of M onthe \inside" of L. By the inside of Lwe mean the component of a tubularneighbor hood with Ldeleted which corresponds to the negative multiplesof the orienting normal vector eld under exp. The exponential maps arethose of M.It is an immediate consequence of one of the standard interpretations ...
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The Schur-convexity of the mean of a convex function
Applied Mathematics Letters, 2009 The authors establish the Schur-convexity at the upper and lower limits of the integral for the mean of a convex function. Furthermore, a new proof of the inequality \[ f\bigg(\frac{a+b}{2}\bigg)=H(0) \leq H(t) \leq H(1)= \frac1{b-a}\int^ b_ a f(x)\,dx \] obtained by \textit{S. S. Dragomir} [J. Math. Anal. Appl. 167, No. 1, 49--56 (1992; Zbl 0758.26014)
Huan-Nan Shi, Da-Mao Li, Chun Gu
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A note on the Serrin problem in the plane
Le Matematiche, 2008 We investigate the stability of the radial symmetry for the overdetermined Serrin problem in a planar convex set. More precisely, we prove that, whenever we properly perturb both the boundary conditions and the data, then a convex solution is “close” to ...
Barbara Brandolini +3 more
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Remote SensingThe advancement of remote sensing has enabled the creation of high-resolution Digital Elevation Models (DEMs). Topographic features such as slope gradient (SG), local convexity (LC), and surface texture (ST), derived from DEMs, are related to subsurface ...
Inhyeok Choi, Dongyoup Kwak
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Decomposition of a convex polygon into convex polygons
Discrete Mathematics, 1979 AbstractLet P be a convex polygon of the euclidean plane, with p vertices. P shall be decomposed into ƒ convex polygons Pj(j=1,…,ƒ). A point A of the plane is a “vertex of the decomposed polygon P”, if A is a vertex of one of the Pj. Let ei(i⩾2) be the number of i-valent vertices of the decomposed polygon P.
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Properties of Some Classes of Structured Minmaxmin Problems
AlgorithmsMinmaxmin problems are well suited for representing some significant decision making problems, where both strategic and tactical decisions are to be made, at different points of time, in the presence of uncertain scenarios.
Narges Araboljadidi +3 more
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On \(\alpha\)-convex sequences of higher order
Journal of Numerical Analysis and Approximation Theory, 2016 Many important applications of the class of convex sequences came across in several branches of mathematics as well as their generalizations. In this paper, we have introduced a new class of convex sequences, the class of \(\alpha\)-convex sequences of ...
Xhevat Z. Krasniqi
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q-Derivative on p-valent meromorphic functions associated with connected sets [PDF]
Surveys in Mathematics and its Applications, 2019 In this article, two subfamilies of p-valent meromorphic functions by means of q-derivative are defined. With that, we study coefficient inequality, distortion bounds and convex family of these subclasses. Also connected sets structure is investigated.
Sh. Najafzadeh
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Anisotropic Hardening of HC420 Steel Sheet: Experiments and Analytical Modeling
MetalsChoosing the appropriate yield function is essential to precisely predicting the anisotropic hardening behavior of steel metals considering general loading directions.
Thamer Sami Alhalaybeh +3 more
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