Applicable Analysis and Discrete Mathematics Vol. 12, No 2 (October, 2018)

Online version (ISSN 2406-100X) posted on October 25, 2018.

Printed version (ISSN 1452-8630) appeared on October 25, 2018.

• Title:

  Two Kinds of the Reverse Hardy-Type Integral Inequalities with the Equivalent Forms Related to the Extended Riemann Zeta Function

  Authors:

  Michael Th. Rassias, Bicheng Yang, Andrei Raigorodskii

  Classification:

  2000 Mathematical Subject Classification: 26D15, 47A07

  Keywords:

  Keywords and phrases: Hardy-type integral inequality, reverse, equivalent form, Riemann zeta function, weight function

  Doi:

  DOI: https://doi.org/10.2298/AADM180130011R

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• Title:

  On generalized 3-connectivity of the strong product of graphs

  Authors:

  Encarnación Abajo, Rocío Casablanca, Ana Diánez, Pedro García-Vázquez

  Classification:

  2000 Mathematical Subject Classification: 05C40, 05C76

  Keywords:

  Keywords and phrases: Whitney’s theorem, Menger’s theorem, Tree-connectivity, Vertex connectivity

  Doi:

  DOI: https://doi.org/10.2298/AADM160726003A

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• Title:

  Parallelism between Moore-Penrose inverse and Aluthge transform of operators

  Authors:

  M. R. Jabbarzadeh, H. Emamalipour and M. Sohrabi Chegeni

  Classification:

  2000 Mathematical Subject Classification: 47B38

  Keywords:

  Keywords and phrases: conditional expectation, polar decomposition, Moore-Penrose inverse, Aluthge transform

  Doi:

  DOI: https://doi.org/10.2298/AADM161026005J

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• Title:

  FIXED POINT THEOREM IN ULTRAMETRIC SPACE

  Authors:

  Hamid Mamghaderi and Hashem Parvaneh Masiha

  Classification:

  2000 Mathematical Subject Classification: 47H10, 32P05

  Keywords:

  Keywords and phrases: weakly connected graph, strongly contractive mapping, spherically complete ultrametric spaces, ‎Fixed point, non-Archimedean normed space

  Doi:

  DOI: https://doi.org/10.2298/AADM161211006M

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• Title:

  OSCILLATION CRITERIA FOR THREE DIMENSIONAL LINEAR DIFFERENCE SYSTEMS

  Authors:

  Arun Kumar Tripathy, Ewa Schmeidel

  Classification:

  2000 Mathematical Subject Classification: 34K11

  Keywords:

  Keywords and phrases: system of equations, Difference equations, nonoscillation, oscillation

  Doi:

  DOI: https://doi.org/10.2298/AADM170111007S

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• Title:

  COMBINATORIAL IDENTITIES FOR APPELL POLYNOMIALS

  Authors:

  Emanuele Munarini

  Classification:

  2000 Mathematical Subject Classification: 05A19, 05A15, 05A40

  Keywords:

  Keywords and phrases: Umbral calculus, Appell polynomials, Binomial coefficients, Combinatorial Identities

  Doi:

  DOI: https://doi.org/10.2298/AADM161001004M

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• Title:

  PSEUDO PICARD OPERATORS ON GENERALIZED METRIC SPACES

  Authors:

  Ishak Altun and Bessem Samet

  Classification:

  2000 Mathematical Subject Classification: 54H25, 47H10

  Keywords:

  Keywords and phrases: JS-Metric Space, Pseudo Picard Operator, Picard Operator, weakly Picard operator, Fixed point

  Doi:

  DOI: https://doi.org/10.2298/AADM170105008A

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• Title:

  Connectivity and some other properties of generalized Sierpiński graphs

  Authors:

  Sandi Klavžar and Sara Sabrina Zemljič

  Classification:

  2000 Mathematical Subject Classification: 05C40, 05C70, 05C45

  Keywords:

  Keywords and phrases: 1-factor, Generalized Sierpiński graph, Edge-connectivity, Hamiltonian graph, Connectivity

  Doi:

  DOI: https://doi.org/10.2298/AADM170206009K

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• Title:

  Counting water cells in bargraphs of compositions and set partitions

  Authors:

  Toufik Mansour and Mark Shattuck

  Classification:

  2000 Mathematical Subject Classification: 05A15, 05A18

  Keywords:

  Keywords and phrases: polynomial generalization, bargraphs, compositions, Set partitions

  Doi:

  DOI: https://doi.org/10.2298/AADM170428010M

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• Title:

  ORBITING TRIANGLE METHOD FOR CONVEX POLYGON TRIANGULATION

  Authors:

  Sead H. Mašović, Islam A. Elshaarawy, Predrag S. Stanimirović and Predrag V. Krtolica

  Classification:

  2000 Mathematical Subject Classification: 68U05, 68N15, 11Y16

  Keywords:

  Keywords and phrases: Convex polygon triangulation, Catalan triangle, Catalan numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM170829013M

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• Title:

  The p-spectral radius of the Laplacian matrix

  Authors:

  Elizandro Max Borba, Eliseu Fritscher, Carlos Hoppen, Sebastian Richter

  Classification:

  2000 Mathematical Subject Classification: 05C50, 90C26, 68R10

  Keywords:

  Keywords and phrases: p-spectral radius, Laplacian matrix

  Doi:

  DOI: https://doi.org/10.2298/AADM170206012B

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• Title:

  Some identities related to Eulerian polynomials and involving the Stirling numbers

  Authors:

  Feng Qi, Dongkyu Lim, and Bai-Ni Guo

  Classification:

  2000 Mathematical Subject Classification: 11B73, 11B68, 05A15

  Keywords:

  Keywords and phrases: Identity, generating function, Eulerian polynomial, higher order Eulerian polynomial, Stirling number, open problem

  Doi:

  DOI: https://doi.org/10.2298/AADM171008014Q

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• Title:

  On existence of solution of second order linear differential equations in Banach space

  Authors:

  M. Mursaleen and Syed M.H. Rizvi

  Classification:

  2000 Mathematical Subject Classification: 34A34, 26A18, 47H09

  Keywords:

  Keywords and phrases: Measure of noncompactness, Darbo's xed point theorem, Banach sequence space, Innite system of second order diferential equations.

  Doi:

  DOI: https://doi.org/10.2298/AADM160902015M

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• Title:

  ASYMPTOTIC EXPANSIONS FOR CERTAIN MATHEMATICAL CONSTANTS AND SPECIAL FUNCTIONS

  Authors:

  Chao-Ping Chen

  Classification:

  2000 Mathematical Subject Classification: 41A60

  Keywords:

  Keywords and phrases: Asymptotic expansion, Somos' quadratic recurrence constant, Glaisher-Kinkelin constant, Choi-Srivastava constants, Barnes G-function.

  Doi:

  DOI: https://doi.org/10.2298/AADM180408017C

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• Title:

  JOINT APPROXIMATION OF ANALYTIC FUNCTIONS BY SHIFTS OF THE RIEMANN AND PERIODIC HURWITZ ZETA-FUNCTIONS

  Authors:

  Antanas Laurincikas, Renata Macaitiene

  Classification:

  2000 Mathematical Subject Classification: 11M06, 41A30, 11M41

  Keywords:

  Keywords and phrases: Haar measure, Mergelyan theorem, Riemann zeta-function, periodic Hurwitz zeta-function, universality.

  Doi:

  DOI: https://doi.org/10.2298/AADM170713016L

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