Monotonicity and Convexity
Monotonicity and Convexity Results for Functions Involving the Gamma Function
... many monotonicity results and inequalities involving the gamma function and incomplete gamma functions have been established, please refer to [8, 9, 10, 27, 28, 29, 35, 37] and some references ...and ...
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Regularization of a Parameter Estimation Problem using Monotonicity and Convexity Constraints *
... The approach is to first examine the common characteristics (e.g., continuity, monotonicity, convexity,etc.) of the function set defined by f . In the next step, a non-parametric function is used to ...
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Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
... There is a second important point worth making regarding Definitions .-. as com- pared to Definitions .-.. Notice that the fractional nabla sum and difference do not induce a domain shift in the way that the ...
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26. Positive solutions for a periodic boundary value problem without assumptions of monotonicity and convexity
... In this paper, we establish the existence of positive solutions PBVP (1.1), where 𝑔(𝑡) may be singular at 𝑡 = 0 and 𝑡 = 1, by using the first eigenvalue of the relevant linear problem and fixed point index theory which ...
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On the Monotonicity and Log Convexity of a Four Parameter Homogeneous Mean
... its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for ...
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The monotonicity and convexity of a function involving psi function with applications
... and convexity of the function related to the psi function and present some new general, Batir-type, and Alzer-type inequalities for the psi function and harmonic ...
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Monotonicity, convexity, and inequalities for the generalized elliptic integrals
... 26. Wang, MK, Qiu, SL, Chu, YM, Jiang, YP: Generalized Hersch-Pfluger distortion function and complete elliptic integrals. J. Math. Anal. Appl. 385(1), 221-229 (2012) 27. Wang, MK, Qiu, SL, Chu, YM, Jiang, YP: ...
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Learning to rank in supervised and unsupervised settings using convexity and monotonicity
... again monotonicity and convexity played a key ...Schur convexity and ...Schur convexity, concavity and in addition be homogeneous of a certain degree, not only is the ranks determined by the ...
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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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Monotonicity of Sequences Involving Geometric Means of Positive Sequences with Logarithmical Convexity
... monotonicity, inequality, geometric mean, ratio, positive sequence, logarithmically concave, mathematical induction.. The authors were supported in part by NNSF (#10001016) of China, SF [r] ...
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Generalized invexity and invariant monotonicity
... Thus, f is invex with respect to on K and that f and satisfy Assumptions A and B. However, f is not convex. The following theorem shows that the preinverxity of a function is equivalent to the invariant monotone ...
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Hyperbolic monotonicity in the Hilbert ball
... [4] H. H. Bauschke, E. Matouˇskov´a, and S. Reich, Projection and proximal point methods: convergence results and counterexamples, Nonlinear Analysis. Theory, Methods & Applications. An Interna- tional ...
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Stability and monotonicity in newsvendor situations
... four monotonicity properties regarding core, each reflecting special fairness arguments that the retailers would follow in a new ...the monotonicity notions hold more naturally for games with at most 3 ...
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Duration and convexity
... FIN250: Duration and Convexity 3 also referred to as debentures. A subordinated debenture is an unsecured bond that is junior to senior unsecured bonds, and hence there is more uncertainty pertaining to these ...
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On convexity and supermodularity.
... resentation Theorem, the Choquet property then holds for continuous and positively homogeneous functionals defined on AL spaces and on abstract L p spaces.. The next simple lemma shows h[r] ...
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Monotonicity and absolute monotonicity for the two parameter hyperbolic and trigonometric functions with applications
... the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric ...complete monotonicity properties for the functions involving the gamma function and provide ...
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Mixture functions and their monotonicity
... directional monotonicity for dierentiable mixture ...on monotonicity of mixture ...weak monotonicity of mixture functions with linear spline weighting function, this section gives presents concepts ...
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Inequality, Welfare and Monotonicity
... Abstract We stablish a general relationship between the standard form of the individualistic social-welfare function and the "reduced-form" version that is expressed in terms of inequality and mean income. This shows the ...
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Monotonicity in Markov chains
... how monotonicity in pMCs can be concluded from the structure of the ...(non-) monotonicity of pWhile programs by a purely syntactic ...for monotonicity in pWhile ...
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Essays on implementability and monotonicity
... of monotonicity of the social choice rules and game theoretic solution concepts can be determined via a generalized monotonicity function, strongest of which is called ...self- monotonicity of the ...
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