Applicable Analysis and Discrete Mathematics Vol. 14, No 3 (2020)

Online version (ISSN 2406-100X) posted on December 23, 2020.

Printed version (ISSN 1452-8630) appeared on December 23, 2020.

• Title:

  GRADIMIR MILOVANOVIĆ – A MASTER IN APPROXIMATION AND COMPUTATION PART II

  Authors:

  Themistocles M. Rassias and Miodrag M. Spalević

  Classification:

  2020 Mathematical Subject Classification:

  Keywords:

  Keywords and phrases:

  Doi:

  DOI: https://doi.org/10.2298/AADM201210037R

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• Title:

  FRACTIONAL TRAPEZIUM-TYPE INEQUALITIES FOR STRONGLY EXPONENTIALLY GENERALIZED PREINVEX FUNCTIONS WITH APPLICATIONS

  Authors:

  Artion Kashuri and Themistocles M. Rassias

  Classification:

  2020 Mathematical Subject Classification: 26A51; 26A33, 26D07, 26D10

  Keywords:

  Keywords and phrases: Trapezium-type integral inequalities, preinvexit, exponential convex function, general fractional integrals

  Doi:

  DOI: https://doi.org/10.2298/AADM190220038K

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• Title:

  A CERTAIN CLASS OF STATISTICAL PROBABILITYCONVERGENCE AND ITS APPLICATIONS TO APPROXIMATION THEOREMS

  Authors:

  H. M. Srivastava, Bidu Bhusan Jena and Susanta Kumar Paikray

  Classification:

  2020 Mathematical Subject Classification: 40A05, 40G15, 41A36

  Keywords:

  Keywords and phrases: Statistical probability convergence, Deferred weighted statistical probability convergence, Sequence of random variables, Korovkin-type theorems, Rate of probability convergence.

  Doi:

  DOI: https://doi.org/10.2298/AADM190220039S

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• Title:

  ERROR-FUNCTIONS IN DOUBLE-SIDED TAYLOR'S APPROXIMATIONS

  Authors:

  Branko Malešević, Tatjana Lutovac, Marija Rašajski and Bojan Banjac

  Classification:

  2020 Mathematical Subject Classification: 25D05, 26D15; 42A10

  Keywords:

  Keywords and phrases: Trigonometric inequalities, Double-sided Taylor’s approximations

  Doi:

  DOI: https://doi.org/10.2298/AADM200114040M

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• Title:

  A GLOBALLY CONVERGENT MODIFIED VERSION OF THE METHOD OF MOVING ASYMPTOTES

  Authors:

  Allal Guessab, Abderrazak Driouch and Otheman Nouisser

  Classification:

  2020 Mathematical Subject Classification: 49 M29, 49M37, 65K05, 90C30

  Keywords:

  Keywords and phrases: Non-convex, non linear optimization, Global convergence, Method of moving asymptotes.

  Doi:

  DOI: https://doi.org/10.2298/AADM181204041G

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• Title:

  A NEW FAMILY OF COMBINATORIAL NUMBERS AND POLYNOMIALS ASSOCIATED WITH PETERS NUMBERS AND POLYNOMIALS

  Authors:

  Yilmaz Simsek

  Classification:

  2020 Mathematical Subject Classification: 11B83, 05A15, 12D10, 11B68, 26C05

  Keywords:

  Keywords and phrases: Special sequences and polynomials, Generating functions, Fibonacci numbers; Bernoulli numbers, Euler numbers, Stirling numbers, Functional equations, Binomial coefficients, Combinatorial identities

  Doi:

  DOI: https://doi.org/10.2298/AADM190220042S

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• Title:

  SOME RESULT FOR BINOMIAL CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS

  Authors:

  Ho Park, Daeyeoul Kim and Ji Suk So

  Classification:

  2020 Mathematical Subject Classification: 11A05, 11B68

  Keywords:

  Keywords and phrases: Convolution sums, Divisor functions

  Doi:

  DOI: https://doi.org/10.2298/AADM190223043P

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• Title:

  APPROXIMATION PROPERTIES OF JAIN-APPELL OPERATORS

  Authors:

  Mehmet Ali Ozarslan

  Classification:

  2020 Mathematical Subject Classification: 41A17, 41A35, 41A36

  Keywords:

  Keywords and phrases: Sz'{a}sz--Mirakyan operators, Jakimovski-Leviatan operators, Jain-Appell operators, Baskakov operators, Lipschitz type function space

  Doi:

  DOI: https://doi.org/10.2298/AADM190223044O

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• Title:

  ON LEVINSON'S INEQUALITY INVOLVING AVERAGES OF $3$-CONVEX FUNCTIONS

  Authors:

  Ana Vukelić

  Classification:

  2020 Mathematical Subject Classification: 26D15,26D07, 26A51

  Keywords:

  Keywords and phrases: Levinson's inequality, divided difference, $n$-convex function, $(n,m)$-convex function, mean

  Doi:

  DOI: https://doi.org/10.2298/AADM190221045V

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• Title:

  THE EFFECT OF EDGE AND VERTEX DELETION ON OMEGA INVARIANT

  Authors:

  Sadik Delen, Muge Togan, Aysun Yurttas, Ugur Ana, Ismail Naci Cangul

  Classification:

  2020 Mathematical Subject Classification: 05C07, 05C10, 05C30.

  Keywords:

  Keywords and phrases: Omegaof a graph, degree sequence, connectedness, cyclic graph, acyclic graph.

  Doi:

  DOI: https://doi.org/10.2298/AADM190219046D

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• Title:

  A NOTE ON POLYLOGARITHMS AND INCOMPLETE GAMMA FUNCTION

  Authors:

  Aykut Ahmet Aygunes

  Classification:

  2020 Mathematical Subject Classification: 11G55, 11M35 ; 33B15, 33B20

  Keywords:

  Keywords and phrases: Polylogarithms, incomplete gamma function, a generalization of incomplete gamma function

  Doi:

  DOI: https://doi.org/10.2298/AADM190221047A

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• Title:

  ON SOME NEW SEQUENCE SPACES OF ORDER ALPHA DEFINED BY INFINITE MATRIX

  Authors:

  Ekrem Savas

  Classification:

  2020 Mathematical Subject Classification: 40H05, 40C05.

  Keywords:

  Keywords and phrases: Modulus function, Almost convergence, Lacunary sequence, $varphi$-function, order $alpha$, infinite matrix.

  Doi:

  DOI: https://doi.org/10.2298/AADM190222048S

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• Title:

  A STUDY OF MOBIUS-BERNOULLI NUMBERS

  Authors:

  Daeyeoul Kim, Abdelmejid Bayad, Hyungyu Ahn

  Classification:

  2020 Mathematical Subject Classification: 11A05, 33E99

  Keywords:

  Keywords and phrases: M"obius-Bernoulli numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM190223049K

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• Title:

  EFFICIENT OPTIMAL FAMILIES OF HIGHER-ORDER ITERATIVE METHODS WITH LOCAL CONVERGENCE

  Authors:

  Ramandeep Behl, J. M. Gutierrez, I. K. Argyros and A. S. Alshomrani

  Classification:

  2020 Mathematical Subject Classification: 65H05, 65D99, 65D10

  Keywords:

  Keywords and phrases: Nonlinear equations, Newton's method, Basin of attraction, Convergence analysis, Banach space

  Doi:

  DOI: https://doi.org/10.2298/AADM190218050B

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• Title:

  RATIO ASYMPTOTICS FOR BIORTHOGONAL MATRIX POLYNOMIALS WITH UNBOUNDED RECURRENCE COEFFICIENTS.

  Authors:

  Amilcar Branquinho, Juan C. Garcia-Ardila, Francisco Marcellan

  Classification:

  2020 Mathematical Subject Classification: 33C45, 33C47, 42C05, 47A56, 65D32

  Keywords:

  Keywords and phrases: ratio asymptotic; quadrature formulae; Markov functions; matrix biorthogonal polynomials; generalized Chebyshev polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM190225051B

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• Title:

  A MATHEURISTIC APPROACH FOR SOLVING THE 2-CONNECTED DOMINATING SET PROBLEM

  Authors:

  Raka Jovanovic and Stefan Voss

  Classification:

  2020 Mathematical Subject Classification: 68W20, 68T20

  Keywords:

  Keywords and phrases: Matheuristic, Dominating Set Problem, GRASP

  Doi:

  DOI: https://doi.org/10.2298/AADM190227052J

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• Title:

  APPROXIMATION BY THE K^lambda MEANS OF FOURIER SERIES AND CONJUGATE SERIES OF FUNCTIONS IN H_{alpha,p}

  Authors:

  Ben Landon, Holly Carley, and R. N. Mohapatra

  Classification:

  2020 Mathematical Subject Classification: 42A24, 41A25

  Keywords:

  Keywords and phrases: Summation methods, Fourier series, Order of convergence

  Doi:

  DOI: https://doi.org/10.2298/AADM190223053L

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