Applicable Analysis and Discrete Mathematics Vol. 13, No 2 (October, 2019)

Online version (ISSN 2406-100X) posted on October 30, 2019.

Printed version (ISSN 1452-8630) appeared on October 30, 2019.

• Title:

  ON THE SIZE OF A RESTRICTED SUMSET WITH APPLICATION TO THE BINARY EXPANSION OF $sqrt{d}$

  Authors:

  Arturas Dubickas

  Classification:

  2000 Mathematical Subject Classification: 11K16, 11B13, 11K31

  Keywords:

  Keywords and phrases: Sidon sequence, quadratic irrationality, binary expansion, sumset

  Doi:

  DOI: https://doi.org/10.2298/AADM180720014D

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• Title:

  A CONJECTURE CONCERNING NEAR-PERFECT MATCHINGS ON $C_m×P_n$ CYLINDERS OF ODD ORDER

  Authors:

  Rade Doroslovački, Jelena Đokić, Bojana Pantić, Olga Bodroža-Pantić

  Classification:

  2000 Mathematical Subject Classification: 05C30, 05C38, 05C85

  Keywords:

  Keywords and phrases: generating funct, grid cylinder, Near-Perfect Matchings

  Doi:

  DOI: https://doi.org/10.2298/AADM181016002D

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• Title:

  SOME COMBINATORIAL IDENTITIES OF THE $r$-WHITNEY-EULERIAN NUMBERS

  Authors:

  Toufik Mansour, Jose L. Ramirez, Mark Shattuck, Sergio N. Villamarin

  Classification:

  2000 Mathematical Subject Classification: 11B83, 05A19, 05A15

  Keywords:

  Keywords and phrases: Euler-Frobenius fraction, r-Whitney-Eulerian number, Eulerian number, combinatorial identity

  Doi:

  DOI: https://doi.org/10.2298/AADM180420012M

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• Title:

  ON GENERALIZED HALLEY-LIKE METHODS FOR SOLVING NONLINEAR EQUATIONS

  Authors:

  Miodrag S. Petković, Ljiljana Petković, Beny Neta

  Classification:

  2000 Mathematical Subject Classification: 65H05, 65D18

  Keywords:

  Keywords and phrases: Dynamic study, Parametric iterative methods, convergence analysis, basin of attraction, Nonlinear equations

  Doi:

  DOI: https://doi.org/10.2298/AADM190111015P

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• Title:

  Higher summability theorems from the weighted reverse discrete inequalities

  Authors:

  Samir H. Saker, Mario Krnić and Josip Pečarić

  Classification:

  2000 Mathematical Subject Classification: 26D15, 40C99

  Keywords:

  Keywords and phrases: Hardy-type inequality, higher summability, reverse inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM180727013S

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• Title:

  ON SOME GENERALIZATIONS OF NONLINEAR DYNAMIC INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS

  Authors:

  A. A. El-Deeb

  Classification:

  2000 Mathematical Subject Classification: 26D15, 34A40, 34A12

  Keywords:

  Keywords and phrases: Initial value problem, Time scales calculus, Dynamic inequalities, Young's inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM170406010E

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• Title:

  ERRORS OF GAUSS-RADAU AND GAUSS-LOBATTO QUADRATURES WITH DOUBLE END POINT

  Authors:

  Aleksandar Pejčev and Ljubica Mihić

  Classification:

  2000 Mathematical Subject Classification: 65D32, 65D30

  Keywords:

  Keywords and phrases: Error bounds, Gauss-Radau and Gauss-Lobatto quadratures, Chebyshev weight function

  Doi:

  DOI: https://doi.org/10.2298/AADM180408011P

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• Title:

  ON A FAMILY OF SPECIAL NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-TYPE NUMBERS AND POLYNOMIALS AND COMBINATORIAL NUMBERS

  Authors:

  Irem Kucukoglu and Yilmaz Simsek

  Classification:

  2000 Mathematical Subject Classification: 05A15, 11B83, 11B68

  Keywords:

  Keywords and phrases: Apostol-type Numbers and Polynomials, Computation algorithm, Generating functions, Stirling numbers, functional equation

  Doi:

  DOI: https://doi.org/10.2298/AADM180215016K

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• Title:

  COMBINATORIAL IDENTITIES INVOLVING THE CENTRAL COEFFICIENTS OF A SHEFFER MATRIX

  Authors:

  Emanuele Munarini

  Classification:

  2000 Mathematical Subject Classification: 05A19, 05A15, 11B73

  Keywords:

  Keywords and phrases: $r$-Lah numbers, $r$-Stirling numbers, Appell sequences, Sheffer sequences, Combinatorial Identities

  Doi:

  DOI: https://doi.org/10.2298/AADM180226017M

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• Title:

  The inverse of a triangular matrix and several identities of the Catalan numbers

  Authors:

  Feng Qi, Qing Zou and Bai-Ni Guo

  Classification:

  2000 Mathematical Subject Classification: 11B83, 41A27, 05A15

  Keywords:

  Keywords and phrases: Chebyshev polynomials of the second kind, inverse matrix, Catalan number, Generating function, integral representation

  Doi:

  DOI: https://doi.org/10.2298/AADM190118018Q

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• Title:

  Continuous Analogues for the Binomial Coefficients and the Catalan Numbers

  Authors:

  Rafael Diaz, Leonardo Cano

  Classification:

  2000 Mathematical Subject Classification: 33-XX, 46N30, 16T30

  Keywords:

  Keywords and phrases: Gaussian Distribution, Convex Polytopes, lattice paths, Catalan numbers, Binomial coefficients

  Doi:

  DOI: https://doi.org/10.2298/AADM161015019D

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• Title:

  ASYMPTOTIC EXPANSIONS AND CONTINUED FRACTION APPROXIMATIONS FOR HARMONIC NUMBER

  Authors:

  Chao-Ping Chen and Qin Wang

  Classification:

  2000 Mathematical Subject Classification: 40A05, 41A20

  Keywords:

  Keywords and phrases: Harmonic number, Euler-Mascheroni constant, continued fraction, Asymptotic expansion

  Doi:

  DOI: https://doi.org/10.2298/AADM190111020C

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• Title:

  Sparse Regularized Fuzzy Regression

  Authors:

  Danilo Rapaic, Lidija Krstanovic, Nebojša Ralevic, Ratko Obradovic and Djuro Klipa

  Classification:

  2000 Mathematical Subject Classification: 62J05, 62J86, 62A86

  Keywords:

  Keywords and phrases: MAP estimate, robust statistics, Huber norm, sparse regularization, Fuzzy regression

  Doi:

  DOI: https://doi.org/10.2298/AADM171227021R

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• Title:

  REMARKS ON A FAMILY OF COMPLEX POLYNOMIALS

  Authors:

  Dorin Andrica and Ovidiu Bagdasar

  Classification:

  2000 Mathematical Subject Classification: 11B83, 26C05, 11A07

  Keywords:

  Keywords and phrases: integer sequences, integral formula, polynomial coefficients, extended polygonal polynomial, extended cyclotomic polynomial

  Doi:

  DOI: https://doi.org/10.2298/AADM180827022A

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• Title:

  ON THE ORDER OF ODD INTEGERS MODULO $2^n$

  Authors:

  Soon-Mo Jung, Doyun Nam and Michael Th. Rassias

  Classification:

  2000 Mathematical Subject Classification: 11B50, 11A07, 11B65

  Keywords:

  Keywords and phrases: Order of odd integers, primitive root, Euler totient function.

  Doi:

  DOI: https://doi.org/10.2298/AADM190326023J

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• Title:

  JACHYMSKI-MATKOWSKI-SWIATKOWSKI’S FIXED POINT THEOREM

  Authors:

  Tomonari Suzuki

  Classification:

  2000 Mathematical Subject Classification: 54H25, 54E99

  Keywords:

  Keywords and phrases: Fixed point, contraction, semimetric space

  Doi:

  DOI: https://doi.org/10.2298/AADM170430024S

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