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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