Results 41 to 50 of about 346 (88)
Monotonic functions related to the $q$-gamma and q-trigamma functions with applications
, 2017 In this paper our aim is to investigate necessary and sufficient conditions for the complete monotonicity properties of some functions related to the q -gamma and q -trigamma functions.
K. Mehrez
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Luo, Qiu-Ming, Qi, Feng
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Some inequalities associated to the ratio of Pochhammer k-symbol
, 2017 In this paper, we study some ratios of the Pochhammer k -symbol. We prove some sharp inequalities for the ratio of Pochhammer k -symbol by Multiple-correction method. Mathematics subject classification (2010): 33B15, 26D07, 26A48.
Xu You, Shouyou Huang, Lu Liu
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Inequalities and Monotonicity properties for some special functions
, 2009 The monotonicity, convexity, log-convexity and complete monotonicity properties for some special functions are proved, and some inequalities are established. Mathematics subject classification (2000): 33B15, 26A48.
Chao Chen
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On the Laplace transform of absolutely monotonic functions
, 2016 We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function.
Koumandos, Stamatis, Pedersen, Henrik L.
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, 2012 In the paper, the author studies properties of three functions relating to the exponential function and the existence of partitions of unity, including accurate and explicit computation of their derivatives, analyticity, complete monotonicity ...
Qi, Feng
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On logarithmic convexity for differences of power means and related results
, 2009 We give some further considerations about logarithmic convexity for differences of power Means for positive linear functionals as well as some related results. Mathematics subject classification (2000): 26A51, 26A46, 26A48.
M. Anwar, J. Pečarić
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A refinement of a double inequality for the gamma function
, 2011 In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.Comment: 8 ...
Guo, Bai-Ni, Qi, Feng
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Functions with Unusual Differentiability Properties
, 2014 The monotone increasing Cantor function is used as a "machine" for building examples of strange functions with interesting properties both from the Fractal Measure Theory and from Singular Functions viewpoints. We give examples showing functions f where:
E. Amo, M. D. Carrillo, J. F. Sánchez
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Some Inequalities for the Ratios of Generalized Digamma Functions
, 2014 Some inequalities for the ratios of generalized digamma functions are presented. The approache makes use of the series representations of the $(q,k)$-digamma and $(p,q)$-digamma functions.Comment: 5 ...
Nantomah, Kwara
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