Applicable Analysis and Discrete Mathematics Vol. 18, No 1 (April, 2024)

Online version (ISSN 2406-100X) posted on April 26, 2024.

Printed version (ISSN 1452-8630) appeared on April 26, 2024.

• Title:

  Families of Log Legendre Chi Function Integrals

  Authors:

  Anthony Sofo

  Classification:

  2020 Mathematical Subject Classification: 33B15, 65B10

  Keywords:

  Keywords and phrases: Legendre Chi Function, Polylogarithm Function, Euler Sum, Dirichlet Lambda Function, Dirichlet Beta Function

  Doi:

  DOI: https://doi.org/10.2298/AADM200506021S

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• Title:

  Comparison inequalities between polynomials with constraints on their zeros

  Authors:

  Abdullah Mir and Adil Hussain

  Classification:

  2020 Mathematical Subject Classification: Primary 30A10; Secondary 30C10, 30C15

  Keywords:

  Keywords and phrases: Complex polynomials, Erd˝os-Lax inequality, Zeros, Rouch´e’s theorem.

  Doi:

  DOI: https://doi.org/10.2298/AADM221212004M

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• Title:

  Application of the Fink identity to Jensen-type inequalities for higher order convex functions

  Authors:

  Marija Bošnjak, Mario Krnić and Josip Pečarić

  Classification:

  2020 Mathematical Subject Classification: 26D10, 26D15

  Keywords:

  Keywords and phrases: Jensen inequality, Lah-Ribarič inequality, Fink identity, Superadditivity, Power mean

  Doi:

  DOI: https://doi.org/10.2298/AADM230210018B

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• Title:

  SOME NEW RESULTS RELATED TO THE CONSTANT e AND FUNCTION (1 + 1/x)^x

  Authors:

  Xue-Feng Han, Chao-Ping Chen and H. M. Srivastava

  Classification:

  2020 Mathematical Subject Classification: Primary 11Y60; Secondary 40A05, 26D20, 26A48

  Keywords:

  Keywords and phrases: The constant e; Asymptotic expansions; Remainders and two-sided inequalities; Completely monotonic functions.

  Doi:

  DOI: https://doi.org/10.2298/AADM230219019H

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• Title:

  Series expansions for real powers of Sinc function and closed-form expression for specific partial Bell polynomials

  Authors:

  Feng Qi and Peter Taylor

  Classification:

  2020 Mathematical Subject Classification: 41A58, 05A19

  Keywords:

  Keywords and phrases: Fa`a di Bruno formula, Series expansion, Sinc function, Power, Sinhc function, Partial Bell polynomial, Closed-form expression, Stirling number of the second kind, Central factorial number of the second kind, Weighted Stirling number of the second kind, C

  Doi:

  DOI: https://doi.org/10.2298/AADM230902020Q

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• Title:

  Asymptotic expansions of stable, stabilizable and stabilized means with applications

  Authors:

  Lenka Mihoković

  Classification:

  2020 Mathematical Subject Classification: 26E60; 41A60; 39B22.

  Keywords:

  Keywords and phrases: Complete asymptotic expansion, Composite means, Recursive relation, Power means, Asymptotic inequalities.

  Doi:

  DOI: https://doi.org/10.2298/AADM230310001M

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• Title:

  Sharp double-exponent type bounds for the Lemniscate Sine function

  Authors:

  Tie-Hong Zhao and Miao-Kun Wang

  Classification:

  2020 Mathematical Subject Classification: 33E05, 26D07

  Keywords:

  Keywords and phrases: Lemniscate sine function, Gaussian hypergeometric function, Weighted (p, q)-exponential function

  Doi:

  DOI: https://doi.org/10.2298/AADM230417005Z

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• Title:

  Vertex-degree-based topological indices of arbitrary sets of hexagons in the Regular Hexagonal Grid

  Authors:

  Lidija Čomić and Nebojša M. Ralević

  Classification:

  2020 Mathematical Subject Classification: 05C09, 05C92

  Keywords:

  Keywords and phrases: Regular hexagonal grid, Benzenoid systems, Coronoid systems, Graph indices, Vertex-degree-based topological indices

  Doi:

  DOI: https://doi.org/10.2298/AADM230901002C

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• Title:

  The Constructor-Blocker Game

  Authors:

  Balázs Patkós, Miloš Stojaković and Máté Vizer

  Classification:

  2020 Mathematical Subject Classification: 91A24, 91A43, 05C57

  Keywords:

  Keywords and phrases: Saturation games, Games on graphs, Positional games

  Doi:

  DOI: https://doi.org/10.2298/AADM220723022P

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• Title:

  Smooth squared, triangular and hexagonal bargraphs

  Authors:

  Toufik Mansour

  Classification:

  2020 Mathematical Subject Classification: 05A05, 05A15

  Keywords:

  Keywords and phrases: Bargraphs, Hexagonal bargraphs, Smooth bargraphs, Squared bargraphs, Triangular bargraphs

  Doi:

  DOI: https://doi.org/10.2298/AADM220603003M

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• Title:

  Laplace transform of analytic composite functions via Bell’s polynomials

  Authors:

  Paolo Emilio Ricci, Diego Caratelli and Pierpaolo Natalini

  Classification:

  2020 Mathematical Subject Classification: 44A10, 05A10, 11B65, 11B83

  Keywords:

  Keywords and phrases: Laplace transform, Bell polynomials, Composite functions

  Doi:

  DOI: https://doi.org/10.2298/AADM210107007R

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• Title:

  The Best Possible Constants Approach for Wilker-Cusa-Huygens inequalities via Stratification

  Authors:

  Bojan Banjac, Branko Malešević, Miloš Mićović, Bojana Mihailović and Milica Savatović

  Classification:

  2020 Mathematical Subject Classification: 68V15, 41A44, 26D05

  Keywords:

  Keywords and phrases: Wilker-Cusa-Huygens inequalities, Stratified families of functions, A minimax approximant, Automated proving of MTP inequalities, SimTheP

  Doi:

  DOI: https://doi.org/10.2298/AADM240308012B

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