concave functions
Convex and Concave Functions
... and concave functions and use them to drive arithmetic-geometric mean inequality, A-G-H mean inequality, Chebyshey's inequality, Holder inequality, Minkowski's inequality and Jensen's ...
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NEW REFINEMENTS AND INTEGRAL INEQUALITIES FOR CONCAVE FUNCTIONS
... ing concave functions. The reason why we choose the concave functions in this study is that the methods we use are applicable to these ...
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A Refinement of Jensen's Inequality for a Class of Increasing and Concave Functions
... The goal is to generalize the following refinement of the arithmetic mean-geometric mean inequality introduced in 1. The result in this paper can also be viewed as a refinement of Jensen’s inequality for a class of ...
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Berwald type inequalities for Sugeno integral with respect to \({ ( {\alpha,m,r} ) {g}}\) concave functions
... Agahi et al. [] illustrated a Berwald-type inequality for the Sugeno integral of a con- vex function. Agahi et al. [] also obtained a Berwald-type inequality for a universal integral based on a convex function. Song ...
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A note on Schur concave functions
... About years ago, the properties concerning such notions as length, area, volume as well as the probability of events were abstracted under the banner of the word measure. We review the notion of measure using this ...
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Fractional Hermite–Hadamard inequalities for \((s,m)\) convex or s concave functions
... Both inequalities (1.4) hold in the reversed direction if f is s-concave in the second sense. In a recent paper, Eftekhari [5] defined the class of (s, m)-convex functions in the second sense as follows: A ...
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Multiplicative Concavity of the Integral of Multiplicatively Concave Functions
... Equivalently, f is a multiplicatively convex function if and only if log fx is a convex function of log x. Modulo this characterization, the class of all multiplicatively convex functions was first considered by ...
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions
... [3] Ch.-P. Chen, F. Qi, P. Cerone and S. S. Dragomir, Monotonicity of sequences involving convex and concave functions, Math. Inequal. Appl. 6 (2003), no. 2, 229–239. RGMIA Res. Rep. Coll. 5 (2002), no. 1, ...
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The Beckenbach Dresher inequality in the Ψ direct sums of spaces and related results
... of concave functions ˜ . We prove some properties of concave functions and the inverse Min- kowski inequality Using these results and combining with the known results about the family Ψ and ...
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The discrete Kuhn Tucker theorem and its application to auctions
... affine functions. More specifically, the constraint functions are of the form x 7→ a −b·x, with a being a constant and b being a characteristic vector, and the characteristic vectors form a discrete ...
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2. Hadamard and Fejer-Hadamard inequalities and related results via caputo fractional derivatives
... [13] E. Set, M. E. Ozdemir, S. S. Dragomir, On the Hermite-Hadamard inequality and other integral inequalities involving two functions, J. Inequal. Appl., (2010), 9. Art. Id. 148102. [14] L. Fej´ er, Uberdie ...
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A basic analysis toolkit for biological sequences
... two functions allow to select a subset of strings from a given set and to assess its statistical significance via z-score computation ...library functions, both in C/C++ and Perl, is given in section ...
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Demand and equilibrium with inferior and Giffen behaviors
... However, they are usually illustrated by pictures. In this paper, we present a class of differentiable, strictly increasing, concave utility functions exhibiting an explicit demand of a good which may have ...
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PP 2006 17: Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modelling
... significant (that is, supra-polynomial) increase in size (in which case L 0 is said to be at least as succinct as L). Elicitation and complexity have been the subject of much previous work that we will not recall here. ...
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On some new inequalities for differentiable co ordinated convex functions
... Clearly, every convex mapping f: Δ ® ℝ is convex on the co-ordinates. Furthermore, there exists co-ordinated convex function which is not convex, (see for example [6,7]). For recent results on co-ordinated convex ...
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Concave Learners for Rankboost
... The second difference between rankboost and adaboost also concerns the weak ranking learner. One feature of boosting that has sparked a great deal of interesting research is the algorithm’s ability to avoid overfitting ...
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On the existence of pure strategy equilibria in large generalized games with atomic players
... objective functions and admissible strategies may depend on the strategies of atomic players and on messages which aggregate information about strategies chosen by non-atomic players ...
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Multiple solutions for the fractional differential equation with concave convex nonlinearities and sign changing weight functions
... However, as far as we know, there are few results about the multiplicity of solutions on the fractional equations involving concave-convex nonlinearities and sign-changing weight functions. In order to ...
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Properties of some functionals associated with h concave and quasilinear functions with applications to inequalities
... since y ≥ , s ≥ . After considering all possibilities, we conclude that f is s-concave. The paper is arranged as follows. In the following section we prove some results about the functional (h ◦ v) · ( ◦ g v ), ...
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Jensen's Inequality for Convex Concave Antisymmetric Functions and Applications
... convex functions is a proper subclass of Jensen-convex functions, see 2, page ...Jensen-convex functions states that if f : I → R is a Jensen-convex function, ...
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