Results 1 to 10 of about 725 (168)
On complete monotonicity for several classes of functions related to ratios of gamma functions
Let Γ(x) $\varGamma (x)$ denote the classical Euler gamma function. The logarithmic derivative ψ(x)=[lnΓ(x)]′=Γ′(x)Γ(x) $\psi (x)=[\ln \varGamma (x)]'=\frac{\varGamma '(x)}{ \varGamma (x)}$, ψ′(x) $\psi '(x)$, and ψ″(x) $\psi ''(x)$ are, respectively ...
Feng Qi, Ravi P. Agarwal
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On Some New AB-Fractional Inclusion Relations
The theory of integral inequality has gained considerable attention due to its influential impact on several fields of mathematics and applied sciences. Over the years, numerous refinements, generalizations, and extensions of convexity have been explored
Bandar Bin-Mohsin +3 more
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Recent results on iterative roots
This is a rough survey of some results on iterative roots (fractional iterates) published recently. Also some historical information to clear the connection to previous results has been given.
Jarczyk Witold
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Extended Odd Fréchet-G Family of Distributions
The need to develop generalizations of existing statistical distributions to make them more flexible in modeling real data sets is vital in parametric statistical modeling and inference.
Suleman Nasiru
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ℱ‐homogeneous functions and a generalization of directional monotonicity [PDF]
A function that takes (Formula presented.) numbers as input and outputs one number is said to be homogeneous whenever the result of multiplying each input by a certain factor (Formula presented.) yields the original output multiplied by that same factor. This concept has been extended by the notion of abstract homogeneity, which generalizes the product
Regivan H. N. Santiago +5 more
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A framework for generalized monotonicity of fusion functions
The relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of directional monotonicity. In this paper, we propose a general framework for generalized monotonicity that encompasses the different forms
Mikel Sesma-Sara +7 more
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On the Convergence of Monotone Hurwitz Generating Functions [PDF]
8 pages, 1 ...
Goulden, I. P. +2 more
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The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications
The last years, the odd Fréchet-G family has been considered with success in various statistical applications. This notoriety can be explained by its simple and flexible exponential-odd structure quite different to the other existing families, with the ...
Majdah M. Badr +4 more
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On the Monotonicity of the Generalized Marcum and Nuttall ${Q}$-Functions [PDF]
Published in IEEE Transactions on Information Theory, August 2009.
Vasilios M. Kapinas +2 more
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Generalized Secret Sharing and Monotone Functions [PDF]
Secret Sharing from the perspective of threshold schemes has been well-studied over the past decade. Threshold schemes, however, can only handle a small fraction of the secret sharing functions which we may wish to form. For example, if it is desirable to divide a secret among four participants A, B, C, and D in such a way that either A together with B
Josh Cohen Benaloh, Jerry Leichter
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