logarithmically completely monotonic function
Two Logarithmically Completely Monotonic Functions Connected with Gamma Function
... a logarithmically completely monotonic function is always completely monotonic, that is, L[I] ⊂ C[I], but not ...the logarithmically completely monotonic ...
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The Best Bounds in Gautschi-Kershaw Inequalities
... for all nonnegative integer k. The case of k = 0 means the inequality (28), the right hand side of inequality (21) in [4, p. 247] with β = s+t 2 ; the case of k ≥ 1 shows by definition of logarithmically ...
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Logarithmically Completely Monotonic Ratios of Mean Values and an Application
... “(strictly) logarithmically completely monotonic function” was named first by ...(strictly) logarithmically completely monotonic function is also (strictly) ...
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Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions
... phrases. logarithmically completely monotonic function, completely monotonic function, gamma function, psi function, ...
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Logarithmically Completely Monotonic Functions Involving Gamma and Polygamma Functions
... “logarithmically completely monotonic function” was explicitly coined in [2] and recovered in [10, 12, 14] and the following much useful, important and key conclusion was proved: L[I] ⊂ ...
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Certain Logarithmically N-Alternating Monotonic Functions Involving Gamma and q-Gamma Functions
... a logarithmically completely monotonic function is always completely monotonic, that is, L[I] ⊂ C[I], but not ...that logarithmically completely monotonic ...
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Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic
... a logarithmically completely monotonic function must be completely monotonic, but not ...the logarithmically completely monotonic functions on (0, ∞) can be ...
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A New Lower Bound in the Second Kershaw's Double Inequality
... a logarithmically completely monotonic function on an interval I must be completely monotonic on ...arithmically completely monotonic functions have close ...
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A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
... the completely monotonic or logarithmically completely monotonic func- tions have been the subject of intensive ...or logarithmically complete monotonicity involving the gamma, ...
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality
... 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 are established, and the first ...
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A Class of Logarithmically Completely Monotonic Functions and Application to the Best Bounds in the Second Gautschi-Kershaw's Inequality
... Γ(δ + s) exp{(1 − s)[ψ(x + c) − ψ(δ + c)]} (22) for x ∈ (δ, ∞), where δ > −ρ, c ≤ 1 and c − s ≥ θ(c − 1) ≥ 0. Since θ(t) is strictly decreasing in t ∈ (−∞, ∞), then the function p(t) is strictly increasing in t ...
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Four Logarithmically Completely Monotonic Functions Involving Gamma Function and Originating from Problems of Traffic Flow
... the logarithmically completely monotonic functions on I is denoted by ...the logarithmically completely monotonic functions on (0, ∞) can be characterized as the infinitely ...
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Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
... the completely monotonic or logarithmically completely monotonic func- tions have been the subject of intensive ...and logarithmically complete monotonicity properties related to ...
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Some conditions for a class of functions to be completely monotonic
... Guo, S, Qi, F, Srivastava, HM: A class of logarithmically completely monotonic functions related to the gamma function with applications.. Integral Transforms Spec.[r] ...
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A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum
... the logarithmically completely monotonic functions on (0, ∞) can be characterized as the infinitely divisible completely monotonic func- ...pletely monotonic and this fact is ...
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Notes on three conjectures involving the digamma and generalized digamma functions
... Zhao, T.-H., Chu, Y.-M.: A class of logarithmically completely monotonic functions associated with a gamma function.. Zhao, T.-H., Chu, Y.-M., Jiang, Y.-P.: Monotonic and logarithmically[r] ...
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the Second Kershaw's Double Inequality
... measure µ in (1) is infinitely divisible in the convolution sense: For each n ∈ N there exists a positive measure ν on [0, ∞) with n-th convolution power equal to µ. By the way, recall [30, 32, 48, 52, 54] that a ...
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Completely Monotonic Functions Related to the Gamma Functions
... strictly completely monotonic on I. Completely monotonic functions have remarkable applications in different ...of completely monotonic functions can be found in [14, Chapter ...
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Some exact constants for the approximation of the quantity in the Wallis’ formula
... be logarithmically completely monotonic in ...(logarithmically) completely monotonic functions, please see, for example, ...
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Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
... are completely monotonic on (0, ∞), find three new sequences which are fast convergence toward the Euler-Mascheroni constant, and give a positive answer to the conjecture proposed by Chen ...
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