期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2021; 15 (1)
In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its int......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2021; 15 (1)
In this paper we present some new upper bounds of the CUSA-HUYGENS and the HUYGENS approximations. Bounds are obtained in the forms of some polynomial......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2021; 15 (1)
By means of the generating function approach, we derive several summation formulae involving multiple harmonic numbers H-n,H-l(sigma), as well as othe......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (1)
In the article, we prove that the function x -> (1-x)K-P(root x) is logarithmically concave on (0, 1) if and only if p >= 7/32, the function x -......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (1)
This paper deals with an interesting open problem of B.E. Rhoades (Contemporary Math. (Amer. Math. Soc.) 72(1988), 233-245) on the existence of genera......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (3)
In the present work, we introduce and study the notion of statistical probability convergence for sequences of random variables as well as the concept......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (2)
In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, f......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (2)
Let G = G(x; y) = root xy; L = L(x; y) = x - y/log(x) - log(y), I = I(x, y) = 1/e(x(x)/y(y))(1/(x - y)), A = A(x, y) = x + y/2, be the geometric, loga......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (2)
For 0 <= alpha <= 1, Nikiforov proposed to study the spectral properties of the family of matrices A(alpha)(G) = alpha D(G)+(1 - alpha)A(G) of a......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020; 14 (2)
Cubic sums of the Gaussian q-binomial coefficients with certain weight functions will be evaluated in this paper. To realize this, we will derive two ......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019; 13 (1)
In the paper, by virtue of two new tools, the authors present the monotonicity and convexity of certain combinations of the complete elliptic integral......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019; 13 (1)
Fault tolerance is especially important for interconnection networks, since the growing size of networks increases their vulnerability to component fa......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019; 13 (1)
We mainly investigate the general solutions and periodic solutions to the following system of max-type difference equations x(n+1) = max {y(n-1)(2), A......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019; 13 (1)
We classify, extend and unify various generalizations of weighted Moore-Penrose inverses in indefinite inner product spaces. New kinds of generalized ......
期刊: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019; 13 (1)
Simsek [Y. Simsek, New families of special numbers for computing negative order Euler numbers and related numbers and polynomials, Appl. Anal. Discret......