Completely monotonic degree of a function involving trigamma and tetragamma functions
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Publication:2129964
DOI10.3934/math.2020219zbMath1484.33005OpenAlexW1560063022MaRDI QIDQ2129964
Publication date: 25 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020219
convolutioncompletely monotonic functiontrigamma functionopen problemcompletely monotonic degreelogarithmically concave functiontetragamma functionstrongly completely monotonic function
Convolution as an integral transform (44A35) Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Convolution, factorization for one variable harmonic analysis (42A85) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
Related Items (5)
Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function ⋮ Decreasing properties of two ratios defined by three and four polygamma functions ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
Cites Work
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- Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
- Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function
- Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function
- Bounds for the ratio of two gamma functions -- from Wendel's and related inequalities to logarithmically completely monotonic functions
- A completely monotonic function involving the tri-gamma function and with degree one
- Complete monotonicity of functions involving the \(q\)-trigamma and \(q\)-tetragamma functions
- Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function
- Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex
- A simple proof of logarithmic convexity of extended mean values
- On some properties of digamma and polygamma functions
- Inequalities for the gamma and \(q\)-gamma functions
- On the degree of the weighted geometric mean as a complete Bernstein function
- Bounds for the ratio of two gamma functions
- Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values
- Properties and applications of a function involving exponential functions
- Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
- Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications
- Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
- A remark on inequalities involving convolutions
- Integral representations of bivariate complex geometric mean and their applications
- Complete monotonicity of a function related to the binomial probability
- The harmonic and geometric means are Bernstein functions
- Complete monotonicity of functions connected with the exponential function and derivatives
- On Steffensen pairs
- Some new Steffensen pairs
- On complete monotonicity for several classes of functions related to ratios of gamma functions
- Sharp inequalities for the psi function and harmonic numbers
- Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem
- Some identities and an explicit formula for Bernoulli and Stirling numbers
- Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
- Sharp bounds for the ratio of two zeta functions
- Completely monotonic degrees for a difference between the logarithmic and psi functions
- Some properties of the Fuss-Catalan numbers
- Complete monotonicity of two functions involving the tri- and tetra-gamma functions
- Integral representations and properties of Stirling numbers of the first kind
- Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean
- A note on Schur-convexity of extended mean values
- Some identities involving exponential functions and Stirling numbers and applications
- Logarithmic convexity of extended mean values
- A completely monotonic function involving the tri- and tetra-gamma functions
- COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS
- Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions
- A CLASS OF COMPLETELY MONOTONIC FUNCTIONS INVOLVING DIVIDED DIFFERENCES OF THE PSI AND TRI-GAMMA FUNCTIONS AND SOME APPLICATIONS
- Monotonicity of some functions involving the gamma and psi functions
- Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
- An alternative proof of Elezović-Giordano-Pečarić's theorem
- Generalization of Bernoulli polynomials
- Some properties of extended remainder of binet’s first formula for logarithm of gamma function
- On Wallis' formula
- Generalizations of some classical inequalities via a special functional property
- Some completely monotonic functions of positive order
- Superadditive Functions and a Statistical Application
- The function (𝑏^{𝑥}-𝑎^{𝑥})/𝑥: Inequalities and properties
- Sharp inequalities for the digamma and polygamma functions
- Lévy-Khintchine representation of Toader-Qi mean
- A class of completely mixed monotonic functions involving the gamma function with applications
- The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
- Logarithmic convexity of Gini means
- Complete monotonicity and related properties of some special functions
- On complete monotonicity of linear combination of finite psi functions
- A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
- A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder
- Integral representations and properties of some functions involving the logarithmic function
- The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
- The best bounds in Gautschi-Kershaw inequalities
- Complete monotonicity of a family of functions involving the tri- and tetra-gamma functions
- Analytic Inequalities
- Bernstein functions. Theory and applications
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