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SOME NEW PROPERTIES OF THE BARNES G-FUNCTION AND RELATED RESULTS

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......

SOME NEW ESTIMATES OF PRECISION OF CUSA-HUYGENS AND HUYGENS APPROXIMATIONS

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......

SUMMATION FORMULAE INVOLVING MULTIPLE HARMONIC NUMBERS

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......

ANSWERS TO THREE CONJECTURES ON CONVEXITY OF THREE FUNCTIONS INVOLVING COMPLETE ELLIPTIC INTEGRALS OF THE FIRST KIND

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 -......

ON CONTRACTIVE MAPPINGS AND DISCONTINUITY AT FIXED POINTS

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......

A CERTAIN CLASS OF STATISTICAL PROBABILITY CONVERGENCE AND ITS APPLICATIONS TO APPROXIMATION THEOREMS

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......

SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS AND INEQUALITIES FOR MULTINOMIAL COEFFICIENTS AND MULTIVARIATE BETA FUNCTIONS

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......

A CHAIN OF MEAN VALUE INEQUALITIES

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......

ON THE alpha-SPECTRAL RADIUS OF GRAPHS

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......

q-BINOMIAL FORMULAE OF DIXON'S TYPE AND THE FIBONOMIAL SUMS

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 ......

CONVEXITY AND MONOTONICITY FOR ELLIPTIC INTEGRALS OF THE FIRST KIND AND APPLICATIONS

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......

JIF:0.97

MAXIMALLY AND SUPER CONNECTED MULTISPLIT GRAPHS AND DIGRAPHS

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......

JIF:0.97

ON THE SOLUTIONS OF A CLASS OF MAX-MIN-TYPE DIFFERENCE EQUATION SYSTEM

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......

JIF:0.97

COMPLEX ZNN FOR COMPUTING TIME-VARYING WEIGHTED PSEUDO-INVERSES

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 ......

JIF:0.97

ON AN OPEN PROBLEM OF SIMSEK CONCERNING THE COMPUTATION OF A FAMILY OF SPECIAL NUMBERS

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......

JIF:0.97

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