Results 101 to 110 of about 5,395,506 (201)
Novel Fractional Simpson–Mercer-Type Inequalities and Their Applications
Journal of MathematicsIn this paper, we establish a Mercer-type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer-type inequalities for functions whose third derivatives satisfy convexity-type ...
Arslan Munir +5 more
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On some properties of the gamma function
, 2008 In this paper we prove a complete monotonicity theorem and establish some upper and lower bounds for the gamma function in terms of digamma and polygamma ...
Batir, Necdet
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Monotonic nature of the Gamma function
Journal of Inequalities and ApplicationsThis study begins by examining the monotonic behavior of the function ln Γ ( x + 1 ) / ( ln ( x 2 + 6 ) − ln ( x + 6 ) ) $\ln \Gamma (x+1)/\left (\ln \left (x^{2}+6\right )-\ln (x+6)\right )$ on the interval x ∈ ( − 1 , 1 ) $x\in (-1,1)$ , supported by ...
Teodor Bulboacă, Hanaa M. Zayed
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, 2018 <p>Code for the EM algorithm and related functions associated with the paper entitled "The Riesz Probability Distribution: Generation and EM Algorithm".</p>You should load additionally - invpsi.m: the inverse of the ...
Kessentini, Sameh; Tounsi, Mariem; Zine Raoudha
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Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications
Universal Journal of Mathematics and ApplicationsFractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir +2 more
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Approximations for the Psi (Digamma) Function [PDF]
Mathematics of Computation, 1967 openaire +1 more source
Chebyshev approximations for the psi function
, 1973 Rational Chebyshev approximations to the psi (digamma) function are presented for .5 ≦ x ≦ 3.0 .5 \leqq x \leqq 3.0 , and 3.0 ≦ x 3.0 \leqq x . Maximum relative
W. J. Cody +2 more
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Functional relations involving generalized H-function
Le Matematiche, 1998 A number of papers have appeared in literature in which certain functional relations associated with hypergeometric functions and Digamma function ψ(z) are derived. In order to unify and extend the existing results due to Kalla [7].
R. K. Saxena
doaj
Modular relations involving generalized digamma functions
Journal of Mathematical Analysis and ApplicationsGeneralized digamma functions $ψ_k(x)$, studied by Ramanujan, Deninger, Dilcher, Kanemitsu, Ishibashi etc., appear as the Laurent series coefficients of the zeta function associated to an indefinite quadratic form. In this paper, a modular relation of the form $F_k(α)=F_k(1/α)$ containing infinite series of $ψ_k(x)$, or, equivalently, between the ...
Atul Dixit +2 more
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Logarithmically completely monotonic functions concerning gamma and digamma functions
, 2007 For given real numbers a0, b and c, let Fa, b, c(x)=[(x+1)]1/x(1+a/x)x+b/xc and a, b, c(x)=''(x)+[2+(b+c)x-2x2]/x3+[3a(2a-b)+(6a-b)x+2x2]/(x+a)3 with x(0, ), where (x) and (x) are the well-known Euler gamma function and the psi or digamma function ...
Cheung, WS +5 more
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