Applicable Analysis and Discrete Mathematics Vol. 14, No 1 (April, 2020)

Online version (ISSN 2406-100X) posted on April 29, 2020.

Printed version (ISSN 1452-8630) appeared on April 29, 2020.

• Title:

  Asymptotic properties of solutions to third order difference equations

  Authors:

  Janusz Migda, Malgorzata Migda, Magdalena Nockowska-Rosiak

  Classification:

  2020 Mathematical Subject Classification: 39A10, 39A22

  Keywords:

  Keywords and phrases: geometric approximation, harmonic approximation, convergent solution, bounded solution, asymptotic behavior

  Doi:

  DOI: https://doi.org/10.2298/AADM180826006M

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• Title:

  Lexicographic metric spaces: basic properties and the metric dimension

  Authors:

  Juan Alberto Rodriguez-Velazquez

  Classification:

  2020 Mathematical Subject Classification: 54E35, 54E45

  Keywords:

  Keywords and phrases: Lexicographic metric spaces, metric dimension

  Doi:

  DOI: https://doi.org/10.2298/AADM180627004R

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• Title:

  On contractive mappings and discontinuity at fixed points

  Authors:

  Hiranmoy Garai, Lakshmi Kanta Dey, Yeol Je Cho

  Classification:

  2020 Mathematical Subject Classification: 26A18

  Keywords:

  Keywords and phrases: compact metric space, orbitally continuous mapping, $mathcal{A}$-contraction, Fixed point

  Doi:

  DOI: https://doi.org/10.2298/AADM181018007G

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• Title:

  Geometrical Realisations of the Simple Permutoassociahedron by Minkowski Sums

  Authors:

  Jelena Ivanović

  Classification:

  2020 Mathematical Subject Classification: 52B11, 18D10, 52B12

  Keywords:

  Keywords and phrases: Minkowski sum, geometrical realisation, coherence, simple polytopes

  Doi:

  DOI: https://doi.org/10.2298/AADM190414011I

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• Title:

  AN AFFIRMATIVE ANSWER TO TWO QUESTIONS CONCERNING SPECIAL CASE OF SIMSEK NUMBERS

  Authors:

  Goubi Mouloud

  Classification:

  2020 Mathematical Subject Classification: 11B83, 11B68, 12D10

  Keywords:

  Keywords and phrases: Yilmaz numbers, Euler numbers, Generating function

  Doi:

  DOI: https://doi.org/10.2298/AADM190116012G

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• Title:

  Regions of existence for a class of nonlinear diffusion type problem.

  Authors:

  Amit K. Verma, Mandeep Singh, Ravi P. Agarwal

  Classification:

  2020 Mathematical Subject Classification: 34B16, 34B27, 34B60

  Keywords:

  Keywords and phrases: Real life application, Upper & Lower solution, Monotone Constructive Technique, Nonlinear diffusion BVP, Green's function

  Doi:

  DOI: https://doi.org/10.2298/AADM190219013V

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• Title:

  Recognizing generalized Sierpi'nski graphs

  Authors:

  Wilfried Imrich and Iztok Peterin

  Classification:

  2020 Mathematical Subject Classification: 05C85, 68R10

  Keywords:

  Keywords and phrases: generalized Sierpi'nski graphs, Sierpi'nski graphs, Algorithm

  Doi:

  DOI: https://doi.org/10.2298/AADM180331003I

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• Title:

  On Mathieu-type series for the unified Gaussian hypergeometric functions

  Authors:

  Rakesh K.Parmar, Tibor K. Pogany

  Classification:

  2020 Mathematical Subject Classification: 33C20, 33B15, 33C05

  Keywords:

  Keywords and phrases: Cahen formula, Mathieu-type series, Generalized $p$-Gaussian function, Generalized $p$-extended Beta function, integral representation

  Doi:

  DOI: https://doi.org/10.2298/AADM190525014P

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• Title:

  Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings

  Authors:

  Miodrag Mateljević and Marek Svetlik

  Classification:

  2020 Mathematical Subject Classification: 30C80, 31C05, 30C75

  Keywords:

  Keywords and phrases: hyperbolic metric on the strip, holomorphic and quasiregular maps, the Schwarz-Pick lemma, the Schwarz lemma, Harmonic functions

  Doi:

  DOI: https://doi.org/10.2298/AADM200104001M

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• Title:

  The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and i.p.t.i. transformers

  Authors:

  Dragoljub Kečkić

  Classification:

  2020 Mathematical Subject Classification: 47A63, 47B47, 46L08

  Keywords:

  Keywords and phrases: inner product type transformers, elementary operator, Cauchy Schwartz inequality, unitarily invariant norm

  Doi:

  DOI: https://doi.org/10.2298/AADM180123002K

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• Title:

  BLOCKING SETS FOR CYCLES AND PATHS DESIGNS

  Authors:

  Paola Bonacini and Lucia Marino

  Classification:

  2020 Mathematical Subject Classification: 05B05, 05C15

  Keywords:

  Keywords and phrases: Design, Cycle, Path

  Doi:

  DOI: https://doi.org/10.2298/AADM181108008B

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• Title:

  FULL HERMITE INTERPOLATION OF THE RELIABILITY OF A HAMMOCK NETWORK

  Authors:

  Leonard Daus, Marilena Jianu

  Classification:

  2020 Mathematical Subject Classification: 05C31, 68Rxx, 41A05

  Keywords:

  Keywords and phrases: reliability polynomial, Connected graph, lattice path

  Doi:

  DOI: https://doi.org/10.2298/AADM190805017D

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• Title:

  Enumerations of bargraphs with respect to corner statistics

  Authors:

  Gökhan Yıldırım, Toufik Mansour

  Classification:

  2020 Mathematical Subject Classification: 05A05, 05A18, 05A15

  Keywords:

  Keywords and phrases: Corners, bargraphs, Stirling numbers of the second kind, Set partitions, generating functions

  Doi:

  DOI: https://doi.org/10.2298/AADM181101009M

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• Title:

  Some Sharp Circular and Hyperbolic Bounds of exp(-x^2 ) with Applications

  Authors:

  Yogesh J. Bagul, Christophe Chesneau

  Classification:

  2020 Mathematical Subject Classification: 26D07, 33B20, 33B10

  Keywords:

  Keywords and phrases: Cusa-Huygens inequality, Truncated Gaussian sine integral, Exponential, Cicular, hyperbolic

  Doi:

  DOI: https://doi.org/10.2298/AADM190123010B

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• Title:

  Positive Answers to Three Conjectures on the Convexity of the Complete Elliptic Integral Proposed by Yang and Tian

  Authors:

  Miao-Kun Wang, Hong-Hu Chu, Yong-Min Li and Yu-Ming Chu

  Classification:

  2020 Mathematical Subject Classification: 33E05, 33F05, 26A51

  Keywords:

  Keywords and phrases: Maclaurin series, complete elliptic integrals, Monotonicity, convexity

  Doi:

  DOI: https://doi.org/10.2298/AADM190924020W

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