Applicable Analysis and Discrete Mathematics Vol. 19, No 2 (October, 2025)

Online version (ISSN 2406-100X) posted on October 27, 2025.

Printed version (ISSN 1452-8630) appeared on October 27, 2025.

• Title:

  SOME NUMBERS AND POLYNOMIALS RELATED TO DEGENERATE HARMONIC AND DEGENERATE HYPERHARMONIC NUMBERS

  Authors:

  Dae San Kim and Taekyun Kim

  Classification:

  2020 Mathematical Subject Classification: 11B73, 11B83

  Keywords:

  Keywords and phrases: degenerate harmonic-Fubini polynomials, degenerate hyperharmonic-Fubini polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM240124014K

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• Title:

  NONCANONICAL FOURTH-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF EMDEN-FOWLER TYPE: OSCILLATION VIA CANONICAL TRANSFORM

  Authors:

  G.Purushothaman, K.Suresh, G.E.Chatzarakis and E.Thandapani

  Classification:

  2020 Mathematical Subject Classification: 34C10, 34K11

  Keywords:

  Keywords and phrases: Oscillation, fourth-order, noncanonical equation, neutral delay differential equation

  Doi:

  DOI: https://doi.org/10.2298/AADM240310008P

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• Title:

  SOME FRACTIONAL-ORDER (p, q)-LAPLACIAN SYSTEMS OF EQUATIONS

  Authors:

  J. Vanterler da C. Sousa, Kishor D. Kucche and Hari M. Srivastava

  Classification:

  2020 Mathematical Subject Classification: 34A08,35J60,35B30,35B40

  Keywords:

  Keywords and phrases: Fractional (p, q)-Laplacian systems, existence, multiplicity, variational methods

  Doi:

  DOI: https://doi.org/10.2298/AADM231021022S

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• Title:

  SHARP BOUNDS FOR TOADER MEAN BY ARITHMETIC AND CENTROIDAL MEANS IN EXPONENTIAL TYPE WITH APPLICATIONS

  Authors:

  Shan Li, Miao-Kun Wang and Xin-Hao Yu

  Classification:

  2020 Mathematical Subject Classification: 33E05, 26E60

  Keywords:

  Keywords and phrases: Toader mean, complete elliptic integrals, monotonicity, inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM240529009L

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• Title:

  NEW IDENTITIES INVOLVING THE UNIVARIATE LOMMEL AND BESSEL FUNCTIONS

  Authors:

  Carlos M. da Fonseca, M. Lawrence Glasser and Victor Kowalenko

  Classification:

  2020 Mathematical Subject Classification: 33C47, 44A15, 44A20.

  Keywords:

  Keywords and phrases: Bessel function, Carlson’s theorem, Chebyshev polynomials, integral, limit identity, univariate Lommel function.

  Doi:

  DOI: https://doi.org/10.2298/AADM240809015F

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• Title:

  ON A UNIFIED GENERALIZATION OF CUSA-HUYGENS AND MITRINOVIĆ-ADAMOVIĆ INEQUALITIES

  Authors:

  Tiehong Zhao

  Classification:

  2020 Mathematical Subject Classification: 26D05, 33B10.

  Keywords:

  Keywords and phrases: Cusa-Huygens inequality, Mitrinovi´c-Adamovi´c inequality, Trigonometric functions, Monotonicity.

  Doi:

  DOI: https://doi.org/10.2298/AADM240801018J

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• Title:

  Gorana Aras-Gazić, Josip Pečarić and Marjan Praljak

  Authors:

  ON GENERALIZATION OF MERCER’S INEQUALITY INVOLVING AVERAGES OF CONVEX FUNCTIONS

  Classification:

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

  Keywords:

  Keywords and phrases: Mercer’s inequality, Niezgoda’s inequality, convex function, (n,m) - convex function, divided differences

  Doi:

  DOI: https://doi.org/10.2298/AADM231206012A

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• Title:

  A NOTE ON MAXIMAL SCHATTEN p-NORMS OF A GRAPH

  Authors:

  Vladimir Božin and Ivan Lazarević

  Classification:

  2020 Mathematical Subject Classification: 05C50, 05C35.

  Keywords:

  Keywords and phrases: Singular values of graph, maximal Schatten norm, spectra of graphs

  Doi:

  DOI: https://doi.org/10.2298/AADM241111013B

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• Title:

  ON THE LOCATION OF EIGENVALUES OF QUATERNION MATRIX POLYNOMIALS

  Authors:

  Ovaisa Jan and Idrees Qasim

  Classification:

  2020 Mathematical Subject Classification: 30E10, 30G35

  Keywords:

  Keywords and phrases: Matrix polynomial , Eigenvalues, Quaternion matrix polynomial

  Doi:

  DOI: https://doi.org/10.2298/AADM240801018J

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• Title:

  RECOGNIZING SIGNED LINE GRAPHS WITH A SINGLE ROOT

  Authors:

  Zoran Stanić

  Classification:

  2020 Mathematical Subject Classification: 05C22, 05C76.

  Keywords:

  Keywords and phrases: Signed line graph, digon, switching isomorphism, Krausz theorem, Whitney theorem

  Doi:

  DOI: https://doi.org/10.2298/AADM250525019S

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• Title:

  COMPUTING EDGE VERSION OF RESTRICTED DETOUR DISTANCE, POLYNOMIALS AND INDEX OF CERTAIN STAR GRAPHS

  Authors:

  Mohammed Rahman Ahmed and Gashaw Aziz MohammedSaleh

  Classification:

  2020 Mathematical Subject Classification: 05C30; 68R10.

  Keywords:

  Keywords and phrases: Edge restricted detour distance, edge restricted detour polynomial, edge restricted detour index, first and second edge restricted detour distance, polynomials and indices

  Doi:

  DOI: https://doi.org/10.2298/AADM241101024A

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• Title:

  ON TWO INEQUALITIES OF G. V. MILOVANOVIĆ AND I. Ž. MILOVANOVIĆ AND THEIR APPLICATIONS

  Authors:

  Ivan D. Aranđelović, Zoran D. Mitrović and Dojčin S. Petković

  Classification:

  2020 Mathematical Subject Classification: 26D15, 52A21

  Keywords:

  Keywords and phrases: Inequalities for sums, convex function, para-normed space

  Doi:

  DOI: https://doi.org/10.2298/AADM250619023A

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• Title:

  VECTOR STATE INEQUALITIES RELATED TO THE HOLDER–MCCARTHY INEQUALITY AND APPLICATIONS

  Authors:

  Mohsen Kian, Mohsen Rostamian Delavar and Mario Krnić

  Classification:

  2020 Mathematical Subject Classification: 47A63, 47A64 26D15

  Keywords:

  Keywords and phrases: Holder–McCarthy inequality, operator mean, order preserving, superquadratic function

  Doi:

  DOI: https://doi.org/10.2298/AADM250623021K

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• Title:

  OPERATOR PRESERVING INEQUALITIES BETWEEN POLYNOMIALS

  Authors:

  Idrees Qasim and Abdullah Mir

  Classification:

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

  Keywords:

  Keywords and phrases: Complex Polynomials, Bn operator, Zeros, Bernstein Inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM241209016Q

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