logarithmic convexity
Logarithmic Convexity of the One-Parameter Mean Values
... the logarithmic convexity [11, 13] and Schur-convexity [12, 13, 15] of the extended mean values E(r, s; x, y), which is a generalization of the one- parameter mean values J (r) with E(r, r + 1; x, y) ...
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On Logarithmic Convexity for Power Sums and Related Results
... Bohner We give some further consideration about logarithmic convexity for differences of power sums inequality as well as related mean value theorems.. Also we define quasiarithmetic sum [r] ...
9
On Logarithmic Convexity for Differences of Power Means
... As an application to probability theory, we give a generalized form of Lyapunov-like inequality for moments of distributions with support on 0, ∞.. An inequality between the Kullback-Lei[r] ...
8
On Logarithmic Convexity for Power Sums and Related Results II
... Correspondence should be addressed to Atiq ur Rehman, [email protected] Received 14 October 2008; Accepted 4 December 2008 Recommended by Wing-Sum Cheung In the paper “On logarithmic co[r] ...
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Monotonicity and Logarithmic Convexity for a Class of Elementary Functions Involving the Exponential Function
... J. Chen, A complete monotonicity property of the gamma function, J. Guo, Complete monotonicities of functions involving the gamma and digamma. functions, RGMIA Res. Chen, Some completely[r] ...
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SOME PROPERTIES OF THE FUSS–CATALAN NUMBERS
... monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the Fuss–Catalan numbers, and derive a double inequality for bounding the Fuss–Catalan ...
14
Exponential convexity for majorization
... the logarithmic convexity of some functions as one can see in ...[1]. Logarithmic convexity plays an important role in fields of application such as reliability and survival analysis, and in ...
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On Refinements of Aczél, Popoviciu, Bellman's Inequalities and Related Results
... Pečarić and Atiq Ur Rehman, “On logarithmic convexity for power sums and related results,” Journal of Inequalities and Applications, Article ID 389410, 9 pages, 2008.. ur Rehman, “On l[r] ...
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Bounds for the Ratio of Two Gamma Functions
... monotonicity, logarithmic convexity, completely mono- tonic function, logarithmically completely monotonic function, refinement, extension, generaliza- tion, exponential function, ...
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Some remarks on growth and uniqueness in thermoelasticity
... the logarithmic convexity to obtain uniqueness and exponential growth of solutions in the thermoelasticity of type III and thermoelasticity without energy ...
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Continuous dependence of solutions in magneto elasticity theory
... a logarithmic convexity technique to achieve continuous dependence on the supply terms and structural stability on the coupling term for the classi- cal linear theory of ...
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The Weak (Monophonic) Convexity Number of a Graph
... By a Graph we mean undirected graph without loops or multiple edges.For terminology and notation not given here,the reader may refer to [6]. The Graphs considered here are connected. For two vertices u and v in a ...
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Schur Convexity of Generalized Heronian Means Involving Two Parameters
... Laforgia The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting [r] ...
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On the refinements of the integral Jensen Steffensen inequality
... n-exponential convexity and log-convexity of the functions associated with the linear functionals constructed from the refined inequalities and also prove the monotonicity property of the generalized Cauchy ...
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8. Certain New Classes of Analytic Functions Defined by Using the Salagean Operator
... We provide coefficient inequalities, dis- tortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of these classes.. Analytic functions; Salagean oper[r] ...
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Mars Mathematics (New Discovery on Value of E, Pie ( ) Constants)
... of logarithmic shift and asymmetry level in the base of universe and logarithmic increase in natural frequency level of ...the logarithmic measure of 3 chromosome Prehistoric ...be logarithmic ...
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Composite Multiclass Losses
... We characterise when a multiclass loss has a proper composite representation and when such representations are unique. We consider integral representations (whereby the proper component can be expressed as a weighted ...
52
A Convexity Theorem For Symplectomorphism Groups
... We begin with a review of classical results about rearrangements, majorization and doubly stochastic operators on the space of functions. These are the key notions needed in the infinite-dimensional formulation of ...
94
On Convexity and Approximating the Perimeter of an Ellipse
... In the first part of this work, a convex partition of a compact subset is constructed. Minimum- length surrounding curve and minimum-area surrounding surfaces for a compact set are con- structed too. In the second part, ...
7
Exponential convexity of Petrović and related functional
... In this paper, we consider certain families of functions to prove log-convexity and exponential convexity of functionals due to the differences in inequalities given in The- orems 1.4-1.13. We construct ...
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