Applicable Analysis and Discrete Mathematics Vol. 11, No 2 (October, 2017)

Online version (ISSN 2406-100X) posted on October 23, 2017.

Printed version (ISSN 1452-8630) appeared on October 23, 2017.

• Title:

  GRAPHS WITH TWO MAIN AND TWO PLAIN EIGENVALUES

  Authors:

  Sakander Hayat, Muhammad Javaid, Jack H. Koolen

  Classification:

  2000 Mathematical Subject Classification: 05C50, 05E30

  Keywords:

  Keywords and phrases: strong graphs, refined spectrum, few eigenvalues, plain eigenvalue, main eigenvalue

  Doi:

  DOI: 10.2298/AADM1702244H

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• Title:

  LEXICOGRAPHIC POLYNOMIALS OF GRAPHS AND THEIR SPECTRA

  Authors:

  Domingos M. Cardoso, Paula Carvalho, Paula Rama, Slobodan K. Simić, and Zoran Stanić

  Classification:

  2000 Mathematical Subject Classification: 05C50, 15A18, 05C76

  Keywords:

  Keywords and phrases: lexicographic product, integral graphs, spectrum, cospectral graphs, Laplacian spectrum

  Doi:

  DOI: 10.2298/AADM1702258C

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• Title:

  LOCATING EIGENVALUES OF UNICYCLIC GRAPHS

  Authors:

  Rodrigo O. Braga, Virginia M. Rodrigues, Vilmar Trevisan

  Classification:

  2000 Mathematical Subject Classification: 05C50, 05C85, 15A18

  Keywords:

  Keywords and phrases: unicyclic caterpillars, unicyclic graphs

  Doi:

  DOI: 10.2298/AADM1702273B

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• Title:

  Dragoš M. Cvetković - a brilliant scientific career that is going on

  Authors:

  Zoran Radosavljević

  Classification:

  2000 Mathematical Subject Classification: xxxxx

  Keywords:

  Keywords and phrases: Dragoš M. Cvetković

  Doi:

  DOI: 10.2298/AADM1702299C

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• Title:

  Inverse degree, Randic index and harmonic index of graphs

  Authors:

  Kinkar Ch. Das, Selvaraj Balachandran, Ivan Gutman

  Classification:

  2000 Mathematical Subject Classification: 05C07, 05C35

  Keywords:

  Keywords and phrases: Degree (of vertex), Randic index, Harmonic index, inverse degree

  Doi:

  DOI: 10.2298/AADM1702304D

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• Title:

  PROTECTION NUMBER IN PLANE TREES

  Authors:

  Clemens Heuberger and Helmut Prodinger

  Classification:

  2000 Mathematical Subject Classification: 05C05, 05A15

  Keywords:

  Keywords and phrases: plane tree, protection number, protected nodes, Singularity analysis

  Doi:

  DOI: 10.2298/AADM1702314H

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• Title:

  Higher order Bell polynomials and the relevant integer sequences

  Authors:

  Pierpaolo Natalini and Paolo Emilio Ricci

  Classification:

  2000 Mathematical Subject Classification: 05A10, 11P81, 26A06

  Keywords:

  Keywords and phrases: Combinatorial analysis, Differentiation of composite functions, Higher order Bell polynomials and number, Bell Polynomials, partitions

  Doi:

  DOI: 10.2298/AADM1702327N

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• Title:

  Fixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations

  Authors:

  Szymon Dudek

  Classification:

  2000 Mathematical Subject Classification: 45G10, 47H08, 47H10

  Keywords:

  Keywords and phrases: Nonlinear integral Volterra equation, Fixed point theorem of Darbo type, Fréchet algebra, measure of noncompactness, convolution

  Doi:

  DOI: 10.2298/AADM1702340D

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• Title:

  What is the best fractional derivative to fit data?

  Authors:

  Ricardo Almeida

  Classification:

  2000 Mathematical Subject Classification: 26A33, 49M37, 34A08

  Keywords:

  Keywords and phrases: World population growth, Gross Domestic Product, Modelling, optimization, fractional calculus

  Doi:

  DOI: https://doi.org/10.2298/AADM170428002A

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• Title:

  From a cotangent sum to a generalized totient function

  Authors:

  Michael Th. Rassias

  Classification:

  2000 Mathematical Subject Classification: 33B10, 11L03, 11N37

  Keywords:

  Keywords and phrases: fractional part, generalized totient function, Euler totient function, Cotangent sums, Asymptotics

  Doi:

  DOI: 10.2298/AADM1702369M

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• Title:

  THE RIEMANN ZETA FUNCTION AND CLASSES OF INFINITE SERIES

  Authors:

  Horst Alzer and Junesang Choi

  Classification:

  2000 Mathematical Subject Classification: 11M06, 33B15

  Keywords:

  Keywords and phrases: mathematical constants, generalized (or Hurwitz) zeta function, gamma, digamma and polygamma functions, Riemann zeta function, Infinite series

  Doi:

  DOI: 10.2298/AADM1702386A

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• Title:

  ON HILBERT'’S INEQUALITY ON TIME SCALES

  Authors:

  Saker H. Saker, A. A. El-Deeb, H. M. Rezk, Ravi P. Agarwal

  Classification:

  2000 Mathematical Subject Classification: 26D15, 34A40, 39A12

  Keywords:

  Keywords and phrases: Jensen'’s inequality, Hölder’s inequality, Hilbert’s inequality, Time scales

  Doi:

  DOI: https://doi.org/10.2298/AADM170428001S

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• Title:

  Some characterizations of inner product spaces via some geometrical inequalities

  Authors:

  Marinescu Dan Stefan, Monea Mihai, Mortici Cristinel

  Classification:

  2000 Mathematical Subject Classification: 46C15, 26D10

  Keywords:

  Keywords and phrases: inner product space, Normed space, inequality

  Doi:

  DOI: 10.2298/AADM1702424D

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• Title:

  EXTENSION OF GENERALIZED INTEGRO-EXPONENTIAL FUNCTION AND ITS APPLICATION IN STUDY OF CHEN DISTRIBUTION

  Authors:

  Tibor K. Pogany, Gauss M. Cordeiro, Muhammad H. Tahir, Hari M. Srivastava

  Classification:

  2000 Mathematical Subject Classification: 33E20, 41A58, 60E05

  Keywords:

  Keywords and phrases: R'enyi entropy, Grunwald-Letnikov fractional derivative, generalized integro-exponantial function, Chen distribution, moments

  Doi:

  DOI: 10.2298/AADM1702434P

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• Title:

  ERROR ESTIMATES OF GAUSSIAN QUADRATURE FORMULAE WITH THE THIRD CLASS OF BERNSTEIN-SZEGO WEIGHTS

  Authors:

  Aleksandar Pejčev

  Classification:

  2000 Mathematical Subject Classification: 65D32, 41A55, 65D30

  Keywords:

  Keywords and phrases: error bound, elliptic contour, Gauss quadrature, remainder term, analytic function

  Doi:

  DOI: 10.2298/AADM1702451P

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• Title:

  SUBPERIODIC TRIGONOMETRIC SUBSAMPLING: A NUMERICAL APPROACH

  Authors:

  Alvise Sommariva and Marco Vianello

  Classification:

  2000 Mathematical Subject Classification: 65D32, 65T40

  Keywords:

  Keywords and phrases: Numerical cubature, Gaussian quadrature, Subperiodic trigonometric quadrature

  Doi:

  DOI: 10.2298/AADM1702470S

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