Applicable Analysis and Discrete Mathematics Vol. 13, No 3 (2019)

Online version (ISSN 2406-100X) posted on December 19, 2019.

Printed version (ISSN 1452-8630) appeared on December 19, 2019.

• Title:

  Gradimir V. Milovanović -- A Master in Approximation and Computation Part I

  Authors:

  Themistocle M. Rassias, Miodrag Spalevic

  Classification:

  2000 Mathematical Subject Classification:

  Keywords:

  Keywords and phrases:

  Doi:

  DOI: https://doi.org/10.2298/AADM190302025R

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• Title:

  NUMERICAL APPROXIMATION OF YOUNG-MEASURE SOLUTIONS TO PARABOLIC SYSTEMS OF FORWARD-BACKWARD TYPE

  Authors:

  Miles Caddick, Endre Suli

  Classification:

  2000 Mathematical Subject Classification: 35K51, 35K55, 76M10

  Keywords:

  Keywords and phrases: finite element method, forward-backward parabolic PDE, Young-measure

  Doi:

  DOI: https://doi.org/10.2298/AADM190325026C

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• Title:

  ORTHOGONAL DIRICHLET POLYNOMIALS WITH CONSTANT WEIGHT

  Authors:

  Doron S. Lubinsky

  Classification:

  2000 Mathematical Subject Classification: 42C05, 42C99, 41A17

  Keywords:

  Keywords and phrases: Orthogonal Dirichlet Polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM190714027L

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• Title:

  ON SHARPENING OF AN INEQUALITY OF TURAN

  Authors:

  N. Govil, P. Kumar

  Classification:

  2000 Mathematical Subject Classification: 30A10

  Keywords:

  Keywords and phrases: Zeros, Polynomials, inequalities

  Doi:

  DOI: https://doi.org/10.2298/AADM190326028G

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• Title:

  CHARACTERIZATIONS OF UNIFORM CONVEXITY FOR DIFFERENTIABLE FUNCTIONS

  Authors:

  Allal Guessab, Osama Alabdali, Gerhard Schmeisser

  Classification:

  2000 Mathematical Subject Classification: 26B25

  Keywords:

  Keywords and phrases: characterizations for diferentiable func, uniform convexity, convexity

  Doi:

  DOI: https://doi.org/10.2298/AADM190322029A

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• Title:

  The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szego type

  Authors:

  Rada M. Mutavdžić, Aleksandar V. Pejčev, Miodrag M. Spalević

  Classification:

  2000 Mathematical Subject Classification: 65D32, 41A55

  Keywords:

  Keywords and phrases: remainder term for analytic functions, contour integral representation, Bernstein-Szego weight functions, Gauss-Lobatto quadrature formula, error bound

  Doi:

  DOI: https://doi.org/10.2298/AADM190315030M

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• Title:

  Certain Feynman Type Integrals Involving the generalized k-Mittag-Leffler function and General Class of Polynomials

  Authors:

  Themistocles M. Rassias, Praveen Agarwal, Sugandh Rani, Mehar Chand

  Classification:

  2000 Mathematical Subject Classification: 26A33, 33C60

  Keywords:

  Keywords and phrases: Feynman Integrals, Pochhammer symbol, Lagurre Polynomials, general class of polynomials, generalized k-Mittag-Leffler function

  Doi:

  DOI: https://doi.org/10.2298/AADM190326031A

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• Title:

  On cubic Thue equations and the indices of algebraic integers in cubic fields

  Authors:

  Abdelmejid Bayad and Mohammed Seddik

  Classification:

  2000 Mathematical Subject Classification: 11R04, 11R16, 11R09

  Keywords:

  Keywords and phrases: common index divisors of cubic fields, cubic fields, Cubic Thue equations

  Doi:

  DOI: https://doi.org/10.2298/AADM190608032B

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• Title:

  IDENTITIES FOR DIRICHLET AND LAMBERT-TYPE SERIES ARISING FROM THE NUMBERS OF A CERTAIN SPECIAL WORD

  Authors:

  Irem Kucukoglu, Yilmaz Simsek

  Classification:

  2000 Mathematical Subject Classification: 11B83, 11M41, 68R15

  Keywords:

  Keywords and phrases: Number-theoretic function, Lyndon words, Apostol-Bernoulli numbers, Lambert Series, Dirichlet series

  Doi:

  DOI: https://doi.org/10.2298/AADM181214033K

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• Title:

  ON DEGENERATE CENTRAL COMPLETE BELL POLYNOMIALS

  Authors:

  Taekyun Kim, Dae San Kim, Gwan-Woo Jang

  Classification:

  2000 Mathematical Subject Classification: 11B73, 11B99, 11B83

  Keywords:

  Keywords and phrases: central complete Bell numbers, central incomplete Bell polynomials, central numbers, Stirling numbers, Bell Polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM181103034K

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• Title:

  HIGHER INTEGRABILITY THEOREMS ON TIME SCALES FROM REVERSE HOLDERS INEQUALITIES

  Authors:

  Samir H. Saker, Mahmoud M. Osman, Mario Krnić

  Classification:

  2000 Mathematical Subject Classification: 26D15, 39A12, 34N05

  Keywords:

  Keywords and phrases: Muckenhoupt-type inequality, Hardy's inequalityhigher integrability, Reverse H

  Doi:

  DOI: https://doi.org/10.2298/AADM181208035S

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• Title:

  FORMULAS DERIVED FROM MOMENT GENERATING FUNCTIONS AND BERNSTEIN POLYNOMIALS

  Authors:

  Buket Simsek

  Classification:

  2000 Mathematical Subject Classification: 11B83, 05A15, 11Kxx

  Keywords:

  Keywords and phrases: Distribution functions, Special polynomials and numbers, Characteristic Function, generating functions, Combinatorial Identities

  Doi:

  DOI: https://doi.org/10.2298/AADM191227036S

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• Title:

  MEIR-KEELER TYPE AND CARISTI TYPE FIXED POINT THEOREMS

  Authors:

  Abhijit Pant, R. P. Pant and Vladimir Rakovčević

  Classification:

  2000 Mathematical Subject Classification: 47H10, 54H25

  Keywords:

  Keywords and phrases: fixed point, contractive mappings

  Doi:

  DOI: https://doi.org/10.2298/AADM181224037P

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• Title:

  REVISITING SIMULATION FUNCTIONS VIA INTERPOLATIVE CONTRACTIONS

  Authors:

  Erdal Karapinar

  Classification:

  2000 Mathematical Subject Classification: 46T99, 54H25, 47H10

  Keywords:

  Keywords and phrases: simulation function, Metric space, Fixed point

  Doi:

  DOI: https://doi.org/10.2298/AADM190325038K

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• Title:

  Computing tail areas for a high-dimensional Gaussian mixture

  Authors:

  Burcin Simsek, Satish Iyengar

  Classification:

  2000 Mathematical Subject Classification: 60E05, 62E20, 41A60

  Keywords:

  Keywords and phrases: non-central Chi-square, exponential family, Chi-square, exponential tilting, Pearson curves

  Doi:

  DOI: https://doi.org/10.2298/AADM181222039S

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• Title:

  A generation method for completely monotone functions

  Authors:

  Julije Jakšetić

  Classification:

  2000 Mathematical Subject Classification: 26D15

  Keywords:

  Keywords and phrases: exponentially convex functions, completely monotone functions, Bernstein functions, Laplace transform, Special functions

  Doi:

  DOI: https://doi.org/10.2298/AADM181210040J

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• Title:

  IMPROVEMENTS OF ASYMPTOTIC APPROXIMATION FORMULAS FOR THE FACTORIAL FUNCTION

  Authors:

  Tomislav Burić

  Classification:

  2000 Mathematical Subject Classification: 33B15, 41A60

  Keywords:

  Keywords and phrases: factorial function, Asymptotic expansions, Gamma function

  Doi:

  DOI: https://doi.org/10.2298/AADM181224041B

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• Title:

  A GLOBALLY CONVERGENT MODIFIED VERSION OF THE METHOD OF MOVING ASYMPTOTES

  Authors:

  Allal Guessab, Abderrazak Driouch, Otheman Nouisser

  Classification:

  2000 Mathematical Subject Classification: 49M29, 49M37, 65K05, 90C30

  Keywords:

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

  Doi:

  DOI: https://doi.org/10.2298/AADM181204042G

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• Title:

  $A$- statistical convergence of order $alpha$ via ${varphi}$- function

  Authors:

  Ekrem Savas

  Classification:

  2000 Mathematical Subject Classification: 40H05, 40C05

  Keywords:

  Keywords and phrases: order $alpha$, $varphi$-function, Lacunary sequence, Modulus function

  Doi:

  DOI: https://doi.org/10.2298/AADM181218043S

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