Applicable Analysis and Discrete Mathematics Vol. 3, No 1 (April, 2009)

Online version (ISSN 2406-100X) posted on February 26, 2009.

Printed version (ISSN 1452-8630) appeared on March 2, 2009.

• Title:

  D. S. MITRINOVIĆ - AN EMINENT MATHEMATICIAN AND A MASTER OF INEQUALITIES

  Authors:

  Gradimir V. Milovanović, Themistocles M. Rassias

  Classification:

  2000 Mathematical Subject Classification: 01A70

  Keywords:

  Keywords and phrases:

  Doi:

  DOI: 10.2298/AADM0901001M

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• Title:

  SOME SOLVABILITY THEOREMS FOR NONLINEAR EQUATIONS WITH APPLICATIONS TO PROJECTED DYNAMICAL SYSTEMS

  Authors:

  G.Isac

  Classification:

  2000 Mathematical Subject Classification: Primary: 47J25. Secondary: 37C25

  Keywords:

  Keywords and phrases: Solvability theorems, nonlinear equations, projected dynamical systems

  Doi:

  DOI: 10.2298/AADM0901003I

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• Title:

  FUNCTIONAL EQUATIONS IN SCHWARTZ DISTRIBUTIONS AND THEIR STABILITIES

  Authors:

  Jae-Young Chung

  Classification:

  2000 Mathematical Subject Classification: 39B82, 46F10

  Keywords:

  Keywords and phrases: d'Alembert equation, Pompeiu equation, logarithmic functional equation, distribution, Hyers-Ulam stability

  Doi:

  DOI: 10.2298/AADM0901014C

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• Title:

  OSCILLATION CRITERIA FOR CERTAIN THIRD ORDER NONLINEAR DIFFERENCE EQUATIONS

  Authors:

  Said R. Grace, Ravi P. Agarwal, and John R. Graef

  Classification:

  2000 Mathematical Subject Classification: 34A10

  Keywords:

  Keywords and phrases: Difference equation, oscillation, nonoscillation, comparison

  Doi:

  DOI: 10.2298/AADM0901027G

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• Title:

  SUPERSTABILITY OF ADJOINTABLE MAPPINGS ON HILBERT C*-MODULES

  Authors:

  Michael Frank, Pasc Gavruta and Mohammad Sal Moslehian

  Classification:

  2000 Mathematical Subject Classification: 46L08, 47B48, 39B52, 46L05

  Keywords:

  Keywords and phrases: Hyers-Ulam-Rassias stability, superstability, Hilbert C*-module, C*-algebra, f-perturbation of an adjointable mapping

  Doi:

  DOI: doi:10.2298/AADM0901039F

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• Title:

  COMPANION INEQUALITIES FOR CERTAIN BIVARIATE MEANS

  Authors:

  Edward Neuman, Jozsef Sandor

  Classification:

  2000 Mathematical Subject Classification: Primary: 26D15. Secondary:26D99.

  Keywords:

  Keywords and phrases: Bivariate means, inequalities, monotonicity.

  Doi:

  DOI: 10.2298/AADM0901046N

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• Title:

  Transient limits

  Authors:

  Fred Richman, Katarzyna Winkowska-Nowak

  Classification:

  2000 Mathematical Subject Classification: Primary 60J10, Secondary 40A05

  Keywords:

  Keywords and phrases: Markov chain, transient limit

  Doi:

  DOI: 10.2298/AADM0901052R

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• Title:

  A COMBINATORIAL IDENTITY FOR A PROBLEM IN ASYMPTOTIC STATISTICS

  Authors:

  Hansjorg Albrecher, Jozef L. Teugels and Klaus Scheicher

  Classification:

  2000 Mathematical Subject Classification: Primary 05A15; Secondary 62G20

  Keywords:

  Keywords and phrases: Asymptotic behavior, generating functions, continued fraction, regularly varying functinos, enumeration problems

  Doi:

  DOI: 10.2298/AADM0901064A

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• Title:

  ZERO AND COEFFICIENT INEQUALITIES FOR STABLE POLYNOMIALS

  Authors:

  J. Rubio-Massegu, J. L. Díaz-Barrero

  Classification:

  2000 Mathematical Subject Classification: 12D10, 26C10, 26D15

  Keywords:

  Keywords and phrases: Zeros and coefficients, stable polynomials, inequalities in the complex plane, bounds of the zeros

  Doi:

  DOI: 10.2298/AADM0901069R

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• Title:

  q-EXTENSION OF SOME SYMMETRICAL AND SEMI-CLASSICAL ORTHOGONAL POLYNOMIALS OF CLASS ONE

  Authors:

  M. Mejri

  Classification:

  2000 Mathematical Subject Classification: 42C05, 33C45

  Keywords:

  Keywords and phrases: q-difference operator, Hq-semi-classical polynomials

  Doi:

  DOI: 10.2298/AADM0901078M

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• Title:

  DISCRETE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL

  Authors:

  B. Drašćić Ban, T.K. Pogány

  Classification:

  2000 Mathematical Subject Classification: Primary 26D15; Secondary 40B05, 40G99

  Keywords:

  Keywords and phrases: Discrete Hilbert type inequality, Dirichlet-series, Hölder inequality, Jacobi Theta function, non-homogeneous kernel

  Doi:

  DOI: 10.2298/AADM0901088B

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• Title:

  ON CONFORMALLY INVARIANT EXTREMAL PROBLEMS

  Authors:

  Vesna Manojlović

  Classification:

  2000 Mathematical Subject Classification: 30C75

  Keywords:

  Keywords and phrases: Conformal invariants, hyperbolic-type metrics, moduli of continuity

  Doi:

  DOI: 10.2298/AADM0901097M

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• Title:

  CHROMATIC ZEROS AND THE GOLDEN RATIO

  Authors:

  Saeid Alikhani, Yee-hock Peng

  Classification:

  2000 Mathematical Subject Classification: 05C15, 11B39

  Keywords:

  Keywords and phrases: Chromatic Zero, Fibonacci Numbers, Golden Ratio

  Doi:

  DOI: 10.2298/AADM0901120A

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• Title:

  BIJECTIONS BETWEEN CERTAIN FAMILIES OF LABELLED AND UNLABELLED d-ARY TREES

  Authors:

  Alois Panholzer, Helmut Prodinger

  Classification:

  2000 Mathematical Subject Classification: 05C05, 05A15

  Keywords:

  Keywords and phrases: labelled trees, d-ary trees, bijections

  Doi:

  DOI: 10.2298/AADM0901123P

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• Title:

  CLIQUE IRREDUCIBILITY AND CLIQUE VERTEX IRREDUCIBILITY OF GRAPHS

  Authors:

  Aparna Lakshmanan S., A. Vijayakumar

  Classification:

  2000 Mathematical Subject Classification: 05C99

  Keywords:

  Keywords and phrases: Clique vertex irreducible graphs, clique irreducible graphs, noncomplete extended p-sum (NEPS), cographs, distance hereditary graphs

  Doi:

  DOI: 10.2298/AADM0901137L

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• Title:

  On the Laplacian Estrada Index of a Graph

  Authors:

  Jianxi Li, Wai Chee Shiu, An Chang

  Classification:

  2000 Mathematical Subject Classification: 05C05, 05C90

  Keywords:

  Keywords and phrases: Laplacian energy, Laplacian Estrada index, bound

  Doi:

  DOI: 10.2298/AADM0901147L

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• Title:

  CHARACTERISTIC, ADMITTANCE AND MATCHING POLYNOMIALS OF AN ANTIREGULAR GRAPH

  Authors:

  Emanuele Munarini

  Classification:

  2000 Mathematical Subject Classification: Primary: 05C50; Secondary: 05A15, 05C70

  Keywords:

  Keywords and phrases: Maximally nonregular graphs, graph eigenvalues, graph energy, Chebyshev polynomials, Stirling numbers

  Doi:

  DOI: 10.2298/AADM0901157M

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