Results 21 to 30 of about 585 (94)
Characterization of inner product spaces and quadratic functions by some classes of functions
, 2020 We define and discuss the c -quadratic-midaffine and F -midaffine functions. Using these functions we characterize inner product spaces and quadratic functions, respectively. Mathematics subject classification (2010): 46C15, 26B25, 39B62.
Mirosław Adamek
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Nonlinear Sherman-type inequalities
Advances in Nonlinear Analysis, 2018 An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
doaj +1 more source
On Schur m-power convexity for ratios of some means
, 2015 In the paper, the authors discuss the Schur m -power convexity on (0,∞)× (0,∞) for ratios of some famous means, such as the arithmetic, geometric, harmonic, root-square means, and the like, and obtain some inequalities related to ratios of means ...
Hong-Ping Yin +2 more
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Regular operator mappings and multivariate geometric means [PDF]
, 2014 We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
core +2 more sources
, 2013 The judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions are given. As their application, some analytic inequalities are established.MSC:26D15, 05E05, 26B25.
Huan-Nan Shi, Jing Zhang
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Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients [PDF]
, 2011 Solutions of the Hamilton-Jacobi equation $H(x,-Du(x))=1$, with $H(\cdot,p)$ H\"older continuous and $H(x,\cdot)$ convex and positively homogeneous of degree 1, are shown to be locally semiconcave with a power-like modulus. An essential step of the proof
Cannarsa, Piermarco +1 more
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Continued fractions built from convex sets and convex functions [PDF]
, 2014 In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions with deterministic terms are provided.
Molchanov, Ilya
core +2 more sources
On some inequalities equivalent to the Wright-convexity
, 2015 In the present paper we establish some conditions and inequalities equivalent to the Wright-convexity. Mathematics subject classification (2010): 39B62, 26A51, 26B25.
A. Olbryś
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Certain Inequalities for Convex Functions
, 2015 This is a review paper on some new inequalities for convex functions of one and several variables. The most important result presented for convex functions of one variable is the extension of Jensen’s inequality to affine combinations.
Zlatko Pavić
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, 2015 In this paper we study a vector majorization ordering for comparing two m -tuples of vectors of a real linear space. This extends the classical approach of (scalar) majorization theory for comparing m -tuples of scalars in R .
M. Niezgoda
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