AADM: Vol. 1, No 1 (2007)

 

Complete issue is available here.

Milan Merkle: FROM PEF TO AADM, VIA MAGT



PGL Leach:
A CHANGE OF ERAS: OBSERVATIONS OF A STRANGER



TOPICS IN MATHEMATICAL ANALYSIS AND GRAPH THEORY (MAGT 2006):
REALIZED PROGRAM



Themistocles M. Rassias:
ON THE ALEKSANDROV PROBLEM FOR ISOMETRIC MAPPINGS
2000 Mathematical Subject Classification: 51K05
Key words and phrases: Aleksandrov problem, Mazur-Ulam theorem, isometry, Banach space, metric, distance, sphere.

doi:10.2298/AADM0701018R



A. M. Fink, Zsolt Páles:
WHAT IS HADAMARD’S INEQUALITY?
2000 Mathematical Subject Classification: 2CD15
Key words and phrases: Hadamard inequality, best possible inequality.

doi:10.2298/AADM0701029F



Csilla Bujtás, Zsolt Tuza:
COLOR-BOUNDED HYPERGRAPHS, III: MODEL COMPARISON
2000 Mathematical Subject Classification: 05C15, 05C65
Key words and phrases: Hypergraph, vertex coloring, chromatic polynomial, mixed hypergraph, color-bounded hypergraph.

doi:10.2298/AADM0701036B



H. M. Srivastava:
SOME FOX-WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTIONS AND ASSOCIATED FAMILIES OF CONVOLUTION OPERATORS
2000 Mathematical Subject Classification: Primary 30C45, 33C20; Secondary 46E20.
Key words and phrases: Analytic function classes, convex functions, starlike functions, Fox-Wright generalized hypergeometric function, classical normalization, Montel’s normalization, Hadamard product (or convolution), Dziok-Srivastava operator, Hilbert space, bounded linear operators, extremal functions, radii of starlikeness and convexity.

doi:10.2298/AADM0701056S



P. Cerone:
SPECIAL FUNCTIONS: APPROXIMATIONS AND BOUNDS
2000 Mathematical Subject Classification: Primary 26D15, 26D20; Secondary 26D10.
Key words and phrases: Čebyšev functional, Grüss inequality, Bessel, Beta and Zeta function bounds.
doi:10.2298/AADM0701072C



S. S. Dragomir:
INEQUALITIES FOR NORMAL OPERATORS IN HILBERT SPACES
2000 Mathematical Subject Classification: 47A12
Key words and phrases: Bounded linear operators, normal operators, Hilbert spaces, Schwarz inequality, reverse inequalities.

doi:10.2298/AADM0701092D



Aleksandar Ivić:
ON SOME MEAN SQUARE ESTIMATES IN THE RANKIN-SELBERG PROBLEM
2000 Mathematical Subject Classification: 11N37, 11M06, 44A15, 26A12
Key words and phrases:
The Rankin-Selberg problem, logarithmic means, Voronoï type formula, functional equation, Selberg class, mean square estimates.

doi:10.2298/AADM0701111I



Lev M. Berkovich: METHOD OF FACTORIZATION OF ORDINARY DIFFERENTIAL OPERATORS AND SOME OF ITS APPLICATIONS
2000 Mathematical Subject Classification: 34A05, 34A30, 34A34, 34L30
Key words and phrases: Factorization, autonomization, linearization.

doi:10.2298/AADM0701122B



PGL Leach, K Andriopoulos:
NONLOCAL SYMMETRIES PAST, PRESENT AND FUTURE
2000 Mathematical Subject Classification: 34A05; 35A20
Key words and phrases: Nonlocal symmetries, complete symmetry groups, reduction of order.

doi:10.2298/AADM0701150L



Dennis Nemzer:
INTEGRABLE BOEHMIANS, FOURIER TRANSFORMS, AND POISSON’S SUMMATION FORMULA
2000 Mathematical Subject Classification: 44A40, 42A38, 42B05, 46F99
Key words and phrases: Boehmian, Fourier transform, Fourier series, Poisson’s summation formula.

doi:10.2298/AADM0701172N



Joel Ratsaby:
DENSITY OF SMOOTH BOOLEAN FUNCTIONS Erratum (in electronic edition only)
2000 Mathematical Subject Classification: 68Q25, 03C13, 51E20, 06E30, 11B05
Key words and phrases: Binary functions, binary sequences, runs, VC-dimension.

doi:10.2298/AADM0701184R



P. N. Agrawal, Asha Ram Gairola:
ON ITERATIVE COMBINATION OF BERNSTEIN–DURRMEYER POLYNOMIALS
2000 Mathematical Subject Classification: 41A40, 41A36
Key words and phrases: Iterative combinations, ordinary approximation, simultaneous approximation, asymptotic formula and modulus of continuity.
doi:10.2298/AADM0701199A



Ivan D. Aranđelović:
NOTE ON ASYMPTOTIC CONTRACTIONS
2000 Mathematical Subject Classification: 54H25, 47H10
Key words and phrases: Fixed point, asymptotic contraction.

doi:10.2298/AADM0701211A



Ljiljana D. Petković, Miodrag S. Petković:
ON THE NEWTON-LIKE METHOD FOR THE INCLUSION OF A POLYNOMIAL ZERO
2000 Mathematical Subject Classification: 65H05, 65G20, 30C15
Key words and phrases: Interval method, polynomial zeros, inclusion of zeros, convergence, initial conditions, circular complex arithmetic.

doi:10.2298/AADM0701217P



Zoran Radosavljević:
ON UNICYCLIC REFLEXIVE GRAPHS
2000 Mathematical Subject Classification: 05C50
Key words and phrases: Graph theory, second largest eigenvalue, reflexive graph, unicyclic graph.

doi:10.2298/AADM0701228R



Marija Rašajski:
ON A CLASS OF MAXIMAL REFLEXIVE \theta-GRAPHS GENERATED BY SMITH GRAPHS
2000 Mathematical Subject Classification: 05C50
Key words and phrases: Graph theory, second largest eigenvalue, reflexive graph, \theta-graph.

doi:10.2298/AADM0701241R



Boro M. Piperevski:
ON A CORRELATION BETWEEN DIFFERENTIAL EQUATIONS AND THEIR CHARACTERISTIC EQUATIONS
2000 Mathematical Subject Classification: 34-A05
Key words and phrases: Differential equations, polynomial solutions, root of characteristic equation.

doi:10.2298/AADM0701251P



Milica Anđelić:
ON THE MATRIX EQUATION XA − AX = t (X)
2000 Mathematical Subject Classification: 15A04, 15A18, 16S36
Key words and phrases: Skew polynomials, pseudo-linear transformations, matrix equation.

doi:10.2298/AADM0701257A



Tzuu-Shuh Chiang, Yunshyong Chow:
OPTIMAL VENTCEL GRAPHS, MINIMAL COST SPANNING TREES AND ASYMPTOTIC PROBABILITIES
2000 Mathematical Subject Classification: 60K35, 68W20
Key words and phrases: Ventcel graphs, cycles, asymptotic probability, minimal cost spanning tree.

doi:10.2298/AADM0701265C



Biljana Jolevska-Tuneska, Arpad Takači, Emin Özçag:
ON DIFFERENTIAL EQUATIONS WITH NONSTANDARD COEFFICIENTS
2000 Mathematical Subject Classification: 34A99, 46F10, 46F99
Key words and phrases: Generalized ordinary differential equations, Ricati equation, Colombeau algebras, distributions.

doi:10.2298/AADM0701276J



Maximiliano Pinto Damas, Lilian Markenzon Nair Maria Maia de Abreu:
NEW CONCEPTS AND RESULTS ON THE AVERAGE DEGREE OF A GRAPH
2000 Mathematical Subject Classification: 05C75, 05A18
Key words and phrases: Average degree; tuner set; trees; unicyclic graphs.

doi:10.2298/AADM0701284P



Nikola Tuneski:
SOME RESULTS ON STARLIKE AND CONVEX FUNCTIONS
2000 Mathematical Subject Classification: 30C45
Key words and phrases: Analytic function, subordination, starlikeness, convexity.

doi:10.2298/AADM0701293T



E. Bendito, A. Carmona, A. M. Encinas, J. M. Gesto: POTENTIAL THEORY FOR BOUNDARY VALUE PROBLEMS ON FINITE NETWORKS
2000 Mathematical Subject Classification: 31C20, 34B45, 39A12, 39A70
Key words and phrases: Combinatorial Laplacian, Schrödinger operators, discrete boundary value problems, Green function, effective resistance.

doi:10.2298/AADM0701299B



Predrag M. Rajković, Slađana D. Marinković, Miomir S. Stanković:
FRACTIONAL INTEGRALS AND DERIVATIVES IN q-CALCULUS
2000 Mathematical Subject Classification: 41A05, 33D60
Key words and phrases: Basic hypergeometric functions, q-integral, q-derivative, fractional calculus.

doi:10.2298/AADM0701311R