Applicable Analysis and Discrete Mathematics Vol. 15, No 1 (April, 2021)

Online version (ISSN 2406-100X) posted on April 27, 2021.

Printed version (ISSN 1452-8630) appeared on April 27, 2021.

• Title:

  ACCESSIBLE SPECTRUM OF GRAPHS

  Authors:

  Mohammad Hamidi, Arsham Borumand Saeid

  Classification:

  2020 Mathematical Subject Classification: 05C65, 34L16, 05C50

  Keywords:

  Keywords and phrases: Partitioned hypergraph, Positive equivalence relation, Spectrum (hyper)graph

  Doi:

  DOI: https://doi.org/10.2298/AADM180319007H

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• Title:

  ON THE INDICES IN NUMBER FIELDS AND THEIR COMPUTATION FOR SMALL DEGREES.

  Authors:

  Abdelmejid Bayad, Mohammed Seddik

  Classification:

  2020 Mathematical Subject Classification: 11R04, 11R33, 12D05, 12E05

  Keywords:

  Keywords and phrases: Common factor of indices, Common divisor of values of polynomials, Ramification, Polynomial, Discriminant

  Doi:

  DOI: https://doi.org/10.2298/AADM191025032B

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• Title:

  MATRIX REPRESENTATIONS FOR A CERTAIN CLASS OF COMBINATORIAL NUMBERS ASSOCIATED WITH BERNSTEIN BASIS FUNCTIONS AND CYCLIC DERANGEMENTS AND THEIR PROBABILISTIC ANDASYMPTOTIC ANALYSES

  Authors:

  Irem Kucukoglu, Yilmaz Simsek

  Classification:

  2020 Mathematical Subject Classification: 05A15, 11B83, 15A99.

  Keywords:

  Keywords and phrases: Generating functions, Combinatorial numbers and polynomials, Special numbers and polynomials, Integral transform, Probability distribution functions

  Doi:

  DOI: https://doi.org/10.2298/AADM201017009K

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• Title:

  ANOTHER TWO FAMILIES OF INTEGER-VALUED POLYNOMIALS ASSOCIATED WITH FINITE TRIGONOMETRIC SUMS

  Authors:

  Đurđe Cvijović

  Classification:

  2020 Mathematical Subject Classification: 33B99, 11B83, 26C05

  Keywords:

  Keywords and phrases: Trigonometric sums, Finite summation, Integer-valued polynomials, Special polynomials and numbers, Cotangent sums

  Doi:

  DOI: https://doi.org/10.2298/AADM200915004C

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• Title:

  SINE AND COSINE TYPES OF GENERATING FUNCTIONS

  Authors:

  Mohammad Masjed-Jamei, Zahra Moalemi

  Classification:

  2020 Mathematical Subject Classification: 05A15, 11B68

  Keywords:

  Keywords and phrases: Bernoulli, Euler and Genocchi numbers, Sheffer and Appell polynomials, Classical orthogonal polynomials, generating functions

  Doi:

  DOI: https://doi.org/10.2298/AADM200530002M

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• Title:

  CONVOLUTIONS OF THE GENERALIZED JACOBSTHAL AND GENERALIZED LUCAS NUMBERS

  Authors:

  Gospava Đorđević, Snežana Đorđević

  Classification:

  2020 Mathematical Subject Classification: 11B83, 11B37, 11B39

  Keywords:

  Keywords and phrases: Recurrence relation, Convolution, Generating function, Explicit representation, Summation formula

  Doi:

  DOI: https://doi.org/10.2298/AADM191103008D

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• Title:

  ON COMPLETE MONOTONICITY OF THREE PARAMETER MITTAG-LEFFLER FUNCTION

  Authors:

  Katarzyna Górska, Andrzej Horzela, Ambra Lattanzi, Tibor K. Pogány

  Classification:

  2020 Mathematical Subject Classification: 26A48, 33E12, 33C60

  Keywords:

  Keywords and phrases: Mittag-Leffler functions, Complete monotonicity, Bernstein theorem

  Doi:

  DOI: https://doi.org/10.2298/AADM190226025G

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• Title:

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

  Authors:

  Chao-Ping Chen, H. M. Srivastava

  Classification:

  2020 Mathematical Subject Classification: 33B15, 26A48, 11A55

  Keywords:

  Keywords and phrases: Barnes G-function, Glaisher-Kinkelin constant, Choi-Srivastava constants, Completely monotonic functions, Continued-fraction approximation, Bernoulli numbers, Generalized Bernoulli polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM200424056C

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• Title:

  OSTROWSKI TYPE INEQUALITIES AND SOME SELECTED QUADRATURE FORMULAE

  Authors:

  Gradimir V. Milovanović

  Classification:

  2020 Mathematical Subject Classification: 26D15, 41A55, 65D30, 65D32

  Keywords:

  Keywords and phrases: Inequalities of Ostrowski type, Norm, Quadrature rules, Peano kernel, Best constant

  Doi:

  DOI: https://doi.org/10.2298/AADM200609054M

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• Title:

  MAXIMAL MATCHINGS IN POLYSPIRO AND BENZENOID CHAINS

  Authors:

  Tomislav Došlić, Taylor Short

  Classification:

  2020 Mathematical Subject Classification: 05C70

  Keywords:

  Keywords and phrases: Polyspiro chain, Benzenoid chain, Maximal matching

  Doi:

  DOI: https://doi.org/10.2298/AADM161106003D

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• Title:

  SUMMATION FORMULAE INVOLVING MULTIPLE HARMONIC NUMBERS

  Authors:

  Dongwei Guo, Wenchang Chu

  Classification:

  2020 Mathematical Subject Classification: 05A19, 11B65, 11B73

  Keywords:

  Keywords and phrases: Harmonic numbers, Bernoulli numbers, Euler numbers, Bell numbers, Stirling numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM190712026G

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• Title:

  ON THE COMPOSITION AND DECOMPOSITION OF POSITIVE LINEAR OPERATORS (VII)

  Authors:

  Ana Maria Acu, Iona Raşa

  Classification:

  2020 Mathematical Subject Classification: 26A15, 41A36

  Keywords:

  Keywords and phrases: Beta operator, Iterates of operators, Eigenstructure of operators, Piecewise linear interpolation operator, Bernstein operator

  Doi:

  DOI: https://doi.org/10.2298/AADM191103006A

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• Title:

  A CHARACTERISATION OF COMPLETENESS OF $b$-FUZZY METRIC SPACES AND NONLINEAR CONTRACTIONS

  Authors:

  Branislav M. Ranđelović, Nataša A. Ćirović, Siniša N. Ješić

  Classification:

  2020 Mathematical Subject Classification: 47H10, 54H25

  Keywords:

  Keywords and phrases: b-Fuzzy metric spaces, R-Weakly commuting mappings, Common fixed point

  Doi:

  DOI: https://doi.org/10.2298/AADM200911057R

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• Title:

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

  Authors:

  Branko Malešević, Marija Nenezić, Ling Zhu, Bojan Banjac, Maja Petrović

  Classification:

  2020 Mathematical Subject Classification: 42A10, 26D05

  Keywords:

  Keywords and phrases: Approximation of trigonometric functions, Cusa-Huygens inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM190904055M

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