Applicable Analysis and Discrete Mathematics Vol. 20, No 2 (October, 2026)

Online version (ISSN 2406-100X) posted on October 26, 2026.

Printed version (ISSN 1452-8630) appeared on October 26, 2026.

• Title:

  HUYGENS TYPE INEQUALITIES FOR SINHC AND TANHC FUNCTIONS

  Authors:

  Wen-Hui Li, Jun-Lei Li and Bai-Ni Guo

  Classification:

  2020 Mathematical Subject Classification: 26D05, 33B10

  Keywords:

  Keywords and phrases: Huygens-Type Inequality, Sinhc Function, Tanhc Function, Hyperbolic Sine Function, Hyperbolic Cosine Function, Maclaurin Power Series Expansion, Stratification Method

  Doi:

  DOI: https://doi.org/10.2298/AADM241209018L

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• Title:

  HIGHER-ORDER DERIVATIVES OF TWO ARCTANGENT-BASED FUNCTIONS AND THEIR RELATION TO GAUSS HYPERGEOMETRIC FUNCTIONS

  Authors:

  Christian Frétigny and Feng Qi

  Classification:

  2020 Mathematical Subject Classification: 33B10, 26A06, 33C05

  Keywords:

  Keywords and phrases: higher-order derivative, Gauss hypergeometric function, Chebyshev polynomial of the second kind, arctangent-based function, trigonometric identity, asymptotic approximation, complete elliptic integral of the first kind, Fourier–Legendre expansion, Catalan

  Doi:

  DOI: https://doi.org/10.2298/AADM260604032F

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• Title:

  PROBABILISTIC MULTI-STIRLING NUMBERS OF THE SECOND KIND AND PROBABILISTIC MULTI-LAH NUMBERS

  Authors:

  Taekyun Kim and Dae San Kim

  Classification:

  2020 Mathematical Subject Classification: 11B68, 11B73, 11B83

  Keywords:

  Keywords and phrases: probabilistic multi-Stirling numbers of the second kind associated with Y , probabilistic multi-Lah numbers associated with Y

  Doi:

  DOI: https://doi.org/10.2298/AADM240723020K

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• Title:

  FINDING COUNTEREXAMPLES FOR A CONJECTURE OF AKBARI, ALAZEMI AND ANÐELIĆ

  Authors:

  Ðorđe Stevanović, Ivan Damnjanović and Dragan Stevanović

  Classification:

  2020 Mathematical Subject Classification: 05C50, 05C70

  Keywords:

  Keywords and phrases: Graph, Energy, Maximum vertex degree, Matching number

  Doi:

  DOI: https://doi.org/10.2298/AADM220108020S

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• Title:

  DECOMPOSITIONS OF GRAPHS WITH DEGREE CONSTRAINTS RELATIVE TO PRESCRIBED SUBGRAPHS

  Authors:

  Peichao Wei , Muhuo Liu , Yang Wu and Zoran Stanić

  Classification:

  2020 Mathematical Subject Classification: 05C75, 05C69

  Keywords:

  Keywords and phrases: Degree constraint, Vertex set partition, Prescribed subgraph, Stiebitz’s theorem

  Doi:

  DOI: https://doi.org/10.2298/AADM260311026W

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• Title:

  NECESSARY AND SUFFICIENT CONDITIONS OF CUSA–HUYGENS TYPE INEQUALITIES INVOLVING GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS

  Authors:

  Tiehong Zhao

  Classification:

  2020 Mathematical Subject Classification: 33B10, 26D05

  Keywords:

  Keywords and phrases: Generalized trigonometric functions, Generalized hyperbolic functions, Cusa–Huygens type inequality; absolute monotonicity; Negative-Positive type series

  Doi:

  DOI: https://doi.org/10.2298/AADM251111021Z

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• Title:

  A SOLUTION TO AN OPEN PROBLEM FOR GENERALIZED CUSA–HUYGENS INEQUALITY

  Authors:

  Chen Shiping

  Classification:

  2020 Mathematical Subject Classification: 26D05, 68V15

  Keywords:

  Keywords and phrases: Generalized Cusa-Huygens Inequality, Taylor Substitution, Mixed Trigonometric Polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM260418028S

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• Title:

  A STUDY ON AN EXTENSION OF EULER TOTIENT SEQUENCE SPACES VIA q-ANALOGUE

  Authors:

  Taja Yaying and Mohammad Mursaleen

  Classification:

  2020 Mathematical Subject Classification: 40C05, 46A45, 46B45

  Keywords:

  Keywords and phrases: q-Euler totient function, Sequence spaces, Dual spaces, Matrix transformations, Geometric properties

  Doi:

  DOI: https://doi.org/10.2298/AADM250831009Y

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• Title:

  THE SPECTRAL RADIUS FOR THE HYPERGRAPHS WITHOUT BERGE-GRAPHS

  Authors:

  Wen-Huan Wang and Lou-Jun Yu

  Classification:

  2020 Mathematical Subject Classification: 05C35, 05C65.

  Keywords:

  Keywords and phrases: Hypergraph, spectral radius, Berge–Cl–free, Berge–{Bs,K2,t}–free, Tur´an-type problem

  Doi:

  DOI: https://doi.org/10.2298/AADM231215025W

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• Title:

  EXTENDING THE ANDERSON-LIVINGSTON ZERO-DIVISOR GRAPH VIA UNFAITHFUL MODULES

  Authors:

  Fida Moh’d and Mamoon Ahmed

  Classification:

  2020 Mathematical Subject Classification: 05C07, 05C25, 05C38

  Keywords:

  Keywords and phrases: Zero-divisor graphs, Commutative rings, Semiprime ideals, Cliques

  Doi:

  DOI: https://doi.org/10.2298/AADM241124007M

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• Title:

  LOWER BOUNDS ON THE NUMBER OF ENVY-FREE DIVISIONS

  Authors:

  Duško Jojić, Gaiane Panina and Rade Živaljević

  Classification:

  2020 Mathematical Subject Classification: 05E45, 52C99, 55M20, 91B32

  Keywords:

  Keywords and phrases: Envy-free division, KKM theorem, chessboard complexes, configuration space/test map scheme

  Doi:

  DOI: https://doi.org/10.2298/AADM251113022J

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• Title:

  SIMPLEX-AVERAGED JENSEN INTERPOLATION, CONVEX ORDER, AND DIVIDED DIFFERENCES

  Authors:

  Julije Jakšetić and Josip Pečarić

  Classification:

  2020 Mathematical Subject Classification: 26D15, 26A51, 60E15

  Keywords:

  Keywords and phrases: Jensen interpolation, divided differences, convex order, Jensen gap, Dirichlet distribution

  Doi:

  DOI: https://doi.org/10.2298/AADM260415024J

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• Title:

  DERIVATION OF CALCULATION FORMULAS FOR CARLITZ NUMBERS AND POLYNOMIALS WITH THEIR APPLICATIONS

  Authors:

  Neslihan Kilar

  Classification:

  2020 Mathematical Subject Classification: 05A15, 11B68, 11B73, 11B83, 26C05, 26A24

  Keywords:

  Keywords and phrases: Apostol-type numbers and polynomials, Carlitz numbers and polynomials, Generalized Fubini numbers, Multiple variables polynomials, Stirling numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM260309025K

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• Title:

  SOME PROPERTIES OF A LINEAR OPERATOR DEFINED THROUGH THE SCHUR-SZEGÖ COMPOSITION THEOREM AND BERNSTEIN TYPE INEQUALITIES

  Authors:

  Gradimir V. Milovanović, Idrees Qasim and Abdullah Mir

  Classification:

  2020 Mathematical Subject Classification: 30A10, 30C10, 30C15

  Keywords:

  Keywords and phrases: Complex polynomials, Bn-Operators, Zeros, Bernstein inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM250722030M

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• Title:

  CORRIGENDUM TO “COMMON FIXED POINTS FOR ENRICHED g-CONTRACTION MAPPINGS”

  Authors:

  Manahell Alsosui, Naseer Shahzad and Amer Hassan Albargi

  Classification:

  2020 Mathematical Subject Classification: 47H10, 54H25

  Keywords:

  Keywords and phrases: ultraoccasionally weakly compatible map, enriched g-nonexpansive mapping, hemicompact mapping, common fixed point, point of coincidence

  Doi:

  DOI: https://doi.org/10.2298/AADM261017031A

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