Applicable Analysis and Discrete Mathematics Vol. 12, No 1 (April, 2018)

Online version (ISSN 2406-100X) posted on April 19, 2018.

Printed version (ISSN 1452-8630) appeared on April 19, 2018.

• Title:

  New families of special numbers for computing negative order Euler numbers and related numbers and polynomials

  Authors:

  Yilmaz Simsek

  Classification:

  2000 Mathematical Subject Classification: 11B83, 12D10

  Keywords:

  Keywords and phrases: Fibonacci numbers; Bernoulli numbers; Euler numbers; Central factorial numbers; Array polynomials; Stirling numbers; Generating functions; Functional equations; Binomial coecients; Combinatorial sum.

  Doi:

  DOI: 10.2298/AADM1801001S

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• Title:

  A generalized discrete fractional Gronwall inequality and its application on the uniqueness of solutions for nonlinear delayed fractional difference system

  Authors:

  Jehad Alzabut and Thabet Abdeljawad

  Classification:

  2000 Mathematical Subject Classification: 34A40, 26A33, 34K37

  Keywords:

  Keywords and phrases: Delay fractional dierence system; Discrete Gronwall inequality; Caputo fractional dierence.

  Doi:

  DOI: 10.2298/AADM1801036A

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• Title:

  On distances in generalized Sierpinski graphs

  Authors:

  Alejandro Estrada-Moreno, Erick D. Rodriguez-Bazan, Juan A. Rodriguez-Velazquez

  Classification:

  2000 Mathematical Subject Classification: 05C76, 05C12

  Keywords:

  Keywords and phrases: Sierpinski graphs; Generalized Sierpinski graphs; Distances in graphs.

  Doi:

  DOI: 10.2298/AADM160802001E

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• Title:

  GENERALIZED COSECANT NUMBERS AND TRIGONOMETRIC INVERSE POWER SUMS

  Authors:

  Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko

  Classification:

  2000 Mathematical Subject Classification: 30B10, 33B10, 33E20

  Keywords:

  Keywords and phrases: Gardner-Fisher sum, generalized cosecant numbers, symmetric polynomial, trigonometric power sum, untwisted Dowker sum.

  Doi:

  DOI: 10.2298/AADM1801070F

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• Title:

  On Derivations and Generalized Derivations of Bitonic Algebras

  Authors:

  Yong Ho Yon and Şule Ayar Özbal

  Classification:

  2000 Mathematical Subject Classification: 03G25, 06F35

  Keywords:

  Keywords and phrases: bitonic algebras, commutative bitonic algebras, (r,l) and (l,r)-derivations, generalized (r,l) and (l,r)-derivations, generalized derivations.

  Doi:

  DOI: 10.2298/AADM1801110Y

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• Title:

  A METHOD FOR COMPUTING THE EDGE-HYPER-WIENER INDEX OF PARTIAL CUBES AND AN ALGORITHM FOR BENZENOID SYSTEMS

  Authors:

  Niko Tratnik

  Classification:

  2000 Mathematical Subject Classification: 92E10, 05C12, 05C85

  Keywords:

  Keywords and phrases: Edge-hyper-Wiener index, edge-Wiener index, partial cube, benzenoid system, linear polyacene.

  Doi:

  DOI: 10.2298/AADM1801126T

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• Title:

  Perfect Roman Domination in Regular Graphs

  Authors:

  Michael A. Henning and William F. Klostermeyer

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Dominating set, Roman dominating function, perfect dominating set.

  Doi:

  DOI: 10.2298/AADM1801143H

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• Title:

  A diagonal recurrence relation for the Stirling numbers of the first kind

  Authors:

  Feng Qi and Bai-Ni Guo

  Classification:

  2000 Mathematical Subject Classification: 11B73, 11M35, 44A10

  Keywords:

  Keywords and phrases: diagonal recurrence relation; inhomogeneous linear ordinary dierential equation; Stirling numbers of the rst kind; Lerch transcendent; complete monotonicity.

  Doi:

  DOI: 10.2298/AADM170405004Q

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• Title:

  AN APPLICATION OF BIVARIATE POLYNOMIAL FACTORIZATION ON DECODING OF REED-SOLOMON BASED CODES

  Authors:

  Ivan Pavkov, Nebojša M. Ralević, Ljubo Nedović

  Classification:

  2000 Mathematical Subject Classification: 12Y05

  Keywords:

  Keywords and phrases: Bivariate polynomials, Decoding, Newton polygon, Non-trivial factorization, Reed-Solomon code.

  Doi:

  DOI: 10.2298/AADM170530005P

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• Title:

  A q-ANALOGUE OF α-WHITNEY NUMBERS

  Authors:

  B. S. El-Desouky and F. A. Shiha

  Classification:

  2000 Mathematical Subject Classification: 05A19, 05A15, 05E05

  Keywords:

  Keywords and phrases: (q; α)-Whitney numbers,α-Whitney numbers, r-Whitney numbers, q-Stirling numbers; α-Whitney-Lah numbers.

  Doi:

  DOI: 10.2298/AADM1801178E

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• Title:

  Linear Programming Problems on Time Scales

  Authors:

  Rasheed Al-Salih and Martin Bohner

  Classification:

  2000 Mathematical Subject Classification: 34N05, 90C05

  Keywords:

  Keywords and phrases: Time scales, primal and dual problem, weak duality theorem, optimality condition, strong duality theorem.

  Doi:

  DOI: 10.2298/AADM170426003A

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• Title:

  Dominating 2-broadcast in graphs: complexity, bounds and extremal graphs

  Authors:

  J. Caceres, C. Hernando, M. Mora, I. M. Pelayo and M. L. Puertas

  Classification:

  2000 Mathematical Subject Classification: 05C12, 05C69

  Keywords:

  Keywords and phrases: Broadcast. Domination. NP-complete decision problem.

  Doi:

  DOI: 10.2298/AADM1801205C

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• Title:

  SQP alternating direction method with a new optimal step size for solving variational inequality problems with separable structure

  Authors:

  Abdellah Bnouhachem and Themistocles M.Rassias

  Classification:

  2000 Mathematical Subject Classification: 49J40, 65N30

  Keywords:

  Keywords and phrases: Variational inequalities, logarithmic-quadratic proximal method, square-quadratic proximal method, projection method, alternating direction method.

  Doi:

  DOI: 10.2298/AADM1801224B

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• Title:

  Some improvements of Jordan-Steckin and Becker-Stark inequalities

  Authors:

  Marija Nenezić, Ling Zhu

  Classification:

  2000 Mathematical Subject Classification: 26D15, 41A10

  Keywords:

  Keywords and phrases: Jordan-Stečkin inequalities, Becker-Stark inequalities.

  Doi:

  DOI: 10.2298/AADM1801244N

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• Title:

  A STUDY OF GENERALIZED SUMMATION THEOREMS FOR THE SERIES 2F1 WITH AN APPLICATIONS TO LAPLACE TRANSFORMS OF CONVOLUTION TYPE INTEGRALS INVOLVING KUMMER'S FUNCTIONS 1F1

  Authors:

  Gradimir V. Milovanovic, Rakesh K. Parmar, Arjun K. Rathie

  Classification:

  2000 Mathematical Subject Classification: 33C20, 33C90, 33C05

  Keywords:

  Keywords and phrases: Bailey's summation theorem, Gauss's second summation theorem, Kummer's summation theorem, Generalized summation theorem, Kummer's con uent hypergeometric function, Laplace transform.

  Doi:

  DOI: 10.2298/AADM171017002M

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