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the best bounds

The Best Bounds in Gautschi-Kershaw Inequalities

The Best Bounds in Gautschi-Kershaw Inequalities

... Abstract. By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an ...

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A Class of Logarithmically Completely Monotonic Functions and Application to the Best Bounds in the Second Gautschi-Kershaw's Inequality

A Class of Logarithmically Completely Monotonic Functions and Application to the Best Bounds in the Second Gautschi-Kershaw's Inequality

... These (logarithmically) complete monotonicity mentioned above can be applied to acquire the best bounds in Gautschi-Kershaw’s inequalities (1) and (2). For more detailed information, please refer to [4, 5, ...

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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality

A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality

... the best bounds for the ratio Γ(x+s) Γ(x+t) are given, and some comparisons with known results are carried out, where s and t are two real numbers and x > − min{s, ...

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The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions

The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions

... Rep. Qi, Best upper and lower bounds in Wallis’ inequality , J. Qi, Completely monotonic function associated with the gamma function and proof of Wallis’ inequality , Tamkang J. Qi, Impr[r] ...

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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality

A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality

... In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities a[r] ...

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Refinements, Extensions and Generalizations of the Second Kershaw's Double Inequality

Refinements, Extensions and Generalizations of the Second Kershaw's Double Inequality

... conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic , RGMIA Res. Chen, The best bounds in Gautschi-Kershaw inequalities , Mat[r] ...

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A New Lower Bound in the Second Kershaw's Double Inequality

A New Lower Bound in the Second Kershaw's Double Inequality

... [7] F. Qi, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality, Comput. Math. Appl. (2006), accepted. RGMIA Res. Rep. ...

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A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum

A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum

... [13] F. Qi, B.-N. Guo, and Ch.-P. Chen, Some completely monotonic functions involving the gamma and polygamma functions, J. Austral. Math. Soc. 80 (2006), 81–88. RGMIA Res. Rep. Coll. 7 (2004), no. 1, Art. 5, 31–36. ...

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16.Sharpness of Negoi's inequality for the Euler-Mascheroni constant

16.Sharpness of Negoi's inequality for the Euler-Mascheroni constant

... Chen, The Best Bounds in Vernescu’s Inequalities for the Euler’s Constant , RGMIA Res.. Mortici, Product approximations via asymptotic integration , Amer.[r] ...

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Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra harmonic means

... Chu, Y.-M., Wang, M.-K., Qiu, S.-L.: Optimal combinations bounds of root-square and arithmetic means for Toader mean.. Hua, Y., Qi, F.: The best bounds for Toader mean in terms of the ce[r] ...

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Search | Preprints

Search | Preprints

... upper bounds of the estimation errors for the operators in the associated linear process, see [20], Section ...upper bounds of the estimation errors for the complete GARCH ...the best of our ...

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The Best Retirement Research of 2012

The Best Retirement Research of 2012

... the best interest of the client to whom the advice is given [but] imposing a fiduciary duty on dealers is inconsistent, or not completely consistent, with the dealer’s ...

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Extinction in a branching process: why some of the fittest strategies cannot guarantee survival

Extinction in a branching process: why some of the fittest strategies cannot guarantee survival

... obtain bounds on the ultimate probability of extinction (Courtois et ...These bounds provide “best case” and “worst case” ...these bounds, termed s-convex extremal random variables, adapted ...

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Best Bounds on Measures of Risk and Probability of Ruin for Alpha Unimodal Random Variables When There Is Limited Moment Information

Best Bounds on Measures of Risk and Probability of Ruin for Alpha Unimodal Random Variables When There Is Limited Moment Information

... system bounds. The starting point for incorporating unimodality into the bounds is the results of the previous sections, showing that if a random variable X is α-unimodal with α-mode m X , then X − m X is ...

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A Completely Monotonic Function Involving Divided Differences of Psi and Polygamma Functions and an Application

A Completely Monotonic Function Involving Divided Differences of Psi and Polygamma Functions and an Application

... Abstract. A function involving the divided differences of the psi function and the polygamma functions is proved to be completely monotonic. As an appli- cation of this result, the monotonicity and convexity of a ...

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Monotonicity of a mean related to polygamma functions with an application

Monotonicity of a mean related to polygamma functions with an application

... for s ∈ (, ) and x ≥ . Some of the refinements, extensions, and generalizations of the double inequality (.) can be found in Qi’s review paper [] and the references therein. It seems that our double inequality (.) ...

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Best Arm Identification for Contaminated Bandits

Best Arm Identification for Contaminated Bandits

... the Best Arm Identification problem for contaminated bandits, where each arm pull has probability ε of generating a sample from an arbitrary contamination distribution instead of the true underlying ...the ...

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The  LED  Block  Cipher

The LED Block Cipher

... up with exactly the same reasoning as for the 64-bit key variant: at least bs/2c · 25 active Sboxes will be active. If only one of the two independent parts composing the key contains a difference, then subkeys with and ...

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Searching Trajectories by Regions of Interest

Searching Trajectories by Regions of Interest

... and best-first) calculations fluctuate with regard to the sort of the question protest (stationary or moving point) and additionally the kind of the inquiry result (verifiable never-ending or not), in this way ...

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