Applicable Analysis and Discrete Mathematics Vol. 18, No 2 (October, 2024)

Online version (ISSN 2406-100X) posted on October 28, 2024.

Printed version (ISSN 1452-8630) appeared on October 28, 2024.

• Title:

  Equivalent Conditions of a Reverse Hilbert -Type Integral Inequality in the Whole Plane and Applications

  Authors:

  Michael Th. Rassias and Bicheng Yang

  Classification:

  2020 Mathematical Subject Classification: 26D15, 47A07

  Keywords:

  Keywords and phrases: Hilbert-type integral inequality, Weight function, Equivalent form, Reverse

  Doi:

  DOI: 10.2298/AADM200121020R

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• Title:

  ON THE SEIDEL INTEGRAL GRAPHS WHICH BELONG TO THE CLASS alpha K_{a} union beta K_{b,b}

  Authors:

  Mirko Lepović

  Classification:

  2020 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Graph, Eigenvalue, Diophantine equation

  Doi:

  DOI: 10.2298/AADM210623005L

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• Title:

  Symmetric Sums of Binomial Coefficients

  Authors:

  Nadia N. Li and Wenchang Chu

  Classification:

  2020 Mathematical Subject Classification: 11B65, 05A10

  Keywords:

  Keywords and phrases: Binomial coefficient, Chu–Vandermonde convolution, Stirling inversion

  Doi:

  DOI: 10.2298/AADM211204008L

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• Title:

  Four Types of Variant Euler Harmonic Sums

  Authors:

  Necdet Batır and Junesang Choi

  Classification:

  2020 Mathematical Subject Classification: 33B15, 11M06, 11M35

  Keywords:

  Keywords and phrases: Gamma function, Polygamma function, Generalized zeta function, Generalized harmonic numbers, Variant Euler harmonic sums

  Doi:

  DOI: 10.2298/AADM200411021B

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• Title:

  DETERMINANT EVALUATION OF BANDED TOEPLITZ MATRICES VIA BIVARIATE POLYNOMIAL FAMILIES

  Authors:

  Abdullah Alazemi and Emrah Kiliç

  Classification:

  2020 Mathematical Subject Classification: 15A15, 15B05, 05A19

  Keywords:

  Keywords and phrases: Determinant, Banded Toeplitz matrix, Generating function, LU-decomposition, Combinatorial representations

  Doi:

  DOI: 10.2298/AADM210927014A

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• Title:

  ON APPROXIMATING PROPERTIES OF BLENDED VARIANT OF KANTOROVICH-STANCU TYPE LUPAŞ OPERATORS

  Authors:

  Taqseer Khan, Gufran Malik and M. Mursaleen

  Classification:

  2020 Mathematical Subject Classification: 41A10, 41A25, 41A36, 40A30

  Keywords:

  Keywords and phrases: Blendid-Stancu-Lupaş operators, Modulus of continuity, Korovkin theorem, Voronovskaja theorems, q-statistical convergence

  Doi:

  DOI: 10.2298/AADM221124014K

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• Title:

  Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov operators

  Authors:

  Ana-Maria Acu, Margareta Heilmann, Ioan Raşa and Ancuţa Emilia Şteopoaie

  Classification:

  2020 Mathematical Subject Classification: 41A36, 41A40

  Keywords:

  Keywords and phrases: Generalized Baskakov operators, Aldaz-Kounchev-Render versions, Voronovskaya type formulas

  Doi:

  DOI: 10.2298/AADM230725016A

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• Title:

  APPLICATIONS OF THE GENERALIZED FUNCTION-TO-SEQUENCE TRANSFORM

  Authors:

  Slobodan B. Tričković and Miomir S. Stanković

  Classification:

  2020 Mathematical Subject Classification: 39A70, 47B38

  Keywords:

  Keywords and phrases: Binomial transform, Forward difference operator, Generalized function-to-sequence transform, Bessel’s operator

  Doi:

  DOI: 10.2298/AADM210917004T

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• Title:

  On the Rademacher perturbed geometric distribution

  Authors:

  Maher Kachour and Christophe Chesneau

  Classification:

  2020 Mathematical Subject Classification: 60E05, 62E15, 62F10

  Keywords:

  Keywords and phrases: Discrete distributions, Geometric distribution, Rademacher distribution, Underdispersion, Overdispersion, Unimodality, Bimodality, Inflated and deflated values

  Doi:

  DOI: 10.2298/AADM230705015K

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• Title:

  Finite sums involving trigonometric functions and special polynomials: analysis of generating functions and p-adic integrals

  Authors:

  Neslihan Kilar, Abdelmejid Bayad and Yilmaz Simsek

  Classification:

  2020 Mathematical Subject Classification: 33B10, 11B68, 11B73, 11S80

  Keywords:

  Keywords and phrases: Bernoulli and Euler numbers and polynomials, Stirling numbers, Combinatorial numbers and sums, Special functions, p-adic integrals

  Doi:

  DOI: 10.2298/AADM230515010K

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• Title:

  Oscillatory Behavior of Semi-Canonical Third-Order Delay Differential Equations with a Superlinear Neutral Term

  Authors:

  K. S. Vidhyaa, R. Deepalakshmi, John R. Graef and E. Thandapani

  Classification:

  2020 Mathematical Subject Classification: 34C10, 34K11

  Keywords:

  Keywords and phrases: Third-order, Semi-canonical, Superlinear neutral term, Delayed argument

  Doi:

  DOI: 10.2298/AADM210812006V

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• Title:

  Impulsive q-Sturm-Liouville problems

  Authors:

  Bilender P. Allahverdiev, Hamlet A. Isayev and Hüseyin Tuna:

  Classification:

  2020 Mathematical Subject Classification: 39A13, 34A36, 34L10

  Keywords:

  Keywords and phrases: Difference equations, Discontinuous equations, Green’s functions, Eigenfunction expansions

  Doi:

  DOI: 10.2298/AADM230428009A

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• Title:

  Sharp Wilker, Huygens, Adamović-Mitrinović, Cusa and Shafer-Fink type inequalities involving the sine integral

  Authors:

  Jun-Ling Sun and Chao-Ping Chen

  Classification:

  2020 Mathematical Subject Classification: 26D05

  Keywords:

  Keywords and phrases: Wilker type inequality, Huygens type inequality, Adamović-Mitrinović type inequality, Cusa type inequality, Shafer-Fink type inequality, sine integral

  Doi:

  DOI: 10.2298/AADM230806011S

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• Title:

  Scaled Evolution of the Hanin Inequality

  Authors:

  Marija Bošnjak, Mario Krnić and Tibor K. Pogány:

  Classification:

  2020 Mathematical Subject Classification: 26D15

  Keywords:

  Keywords and phrases: Arithmetic mean, Quadratic mean, The Hanin inequality, Reverse, Weighted inequality

  Doi:

  DOI: 10.2298/AADM240423019B

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• Title:

  Refinements of some inequalities involving means

  Authors:

  Cristinel Mortici and Leonard Giugiuc

  Classification:

  2020 Mathematical Subject Classification: 26D15, 26D20

  Keywords:

  Keywords and phrases: AM-GM-HM inequality, sharp constants

  Doi:

  DOI: 10.2298/AADM240419018M

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• Title:

  Sharp bounds on Hankel determinants of bounded turning functions involving the hyperbolic tangent function

  Authors:

  Zhi-Gang Wang, Hari M. Srivastava, M. Arif, Zhi-Hong Liu and K. Ullah

  Classification:

  2020 Mathematical Subject Classification: 30C45, 30C50

  Keywords:

  Keywords and phrases: Bounded turning function, hyperbolic tangent function, Hankel determinant

  Doi:

  DOI: 10.2298/AADM221203013W

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• Title:

  IN MEMORIAM - Prof. dr Milan Merkle

  Authors:

  Nenad P. Cakić

  Classification:

  2020 Mathematical Subject Classification:

  Keywords:

  Keywords and phrases:

  Doi:

  DOI:

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