Applicable Analysis and Discrete Mathematics Vol. 15, No 2 (October, 2021)

Online version (ISSN 2406-100X) posted on October 26, 2021.

Printed version (ISSN 1452-8630) appeared on October 26, 2021.

• Title:

  Counting pattern avoiding permutations by number of movable letters

  Authors:

  Mark Shattuck, Toufik Mansour

  Classification:

  2020 Mathematical Subject Classification: 05A15, 05A05

  Keywords:

  Keywords and phrases: vincular pattern, permutation statistic, kernel method, pattern avoidance

  Doi:

  DOI: https://doi.org/10.2298/AADM190706029M

  Download:

  Download

• Title:

  THE TOTAL TORSION OF KNOTS UNDER SECOND ORDER INFINITESIMAL BENDING

  Authors:

  Marija S. Najdanović, Ljubica S, Velimirović and Svetozar R. Rančić

  Classification:

  2020 Mathematical Subject Classification: 53A04, 53C45

  Keywords:

  Keywords and phrases: total torsion, knot, second variation, first variation, second order infinitesimal bending

  Doi:

  DOI: https://doi.org/10.2298/AADM200206035N

  Download:

  Download

• Title:

  Theory of Discrete Muckenhoupt Weights and Discrete Rubio De Francia Extrapolation Theorems

  Authors:

  S. H. Saker and R. P. Agarwal

  Classification:

  2020 Mathematical Subject Classification: 11K70, 11Bxx, 32A70

  Keywords:

  Keywords and phrases: Rubio De Francia extrapolation theorem, self-improving property, A_{p}-discrete Muckenhoupt weights

  Doi:

  DOI: https://doi.org/10.2298/AADM210120017S

  Download:

  Download

• Title:

  ON EXPONENTIALLY ϱ–PREINVEX FUNCTIONS AND ASSOCIATED TRAPEZIUM LIKE INEQUALITIES

  Authors:

  Artion Kashuri, Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor and Khalida Inayat Noor

  Classification:

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

  Keywords:

  Keywords and phrases: rho-convex function, Hermite–Hadamard inequality, preinvexity, convex function

  Doi:

  DOI: https://doi.org/10.2298/AADM200220025K

  Download:

  Download

• Title:

  Weighted P-partitions enumerator

  Authors:

  Marko Pešović and Tanja Stojadinović

  Classification:

  2020 Mathematical Subject Classification: 16T05, 52B05

  Keywords:

  Keywords and phrases: generalized permutohedron, combinatorial Hopf algebra, Poset

  Doi:

  DOI: https://doi.org/10.2298/AADM200525013P

  Download:

  Download

• Title:

  Separation of Cartesian products of graphs on several connected components by the removal of edges

  Authors:

  Simon Špacapan

  Classification:

  2020 Mathematical Subject Classification: 05C40, 05C76

  Keywords:

  Keywords and phrases: Cartesian products, Generalized connectivity

  Doi:

  DOI: https://doi.org/10.2298/AADM160719018S

  Download:

  Download

• Title:

  NECESSARY AND SUFFICIENT CONDITIONS FOR COMPLETE MONOTONICITY AND MONOTONICITY OF TWO FUNCTIONS DEFINED BY TWO DERIVATIVES OF A FUNCTION INVOLVING TRIGAMMA FUNCTION

  Authors:

  Feng Qi

  Classification:

  2020 Mathematical Subject Classification: 33B15, 44A10, 26A48

  Keywords:

  Keywords and phrases: polygamma function, necessary and sufficient condition, Monotonicity, inequality, completely monotonic function

  Doi:

  DOI: https://doi.org/10.2298/AADM191111014Q

  Download:

  Download

• Title:

  THE ROMAN DOMINATION NUMBER OF SOME SPECIAL CLASSES OF GRAPHS - CONVEX POLYTOPES

  Authors:

  Aleksandar Kartel, Milana Grbić, Dragan Matić and Vladimir Filipović

  Classification:

  2020 Mathematical Subject Classification: 05C69, 05C90

  Keywords:

  Keywords and phrases: Convex Polytopes, Roman domination number

  Doi:

  DOI: https://doi.org/10.2298/AADM171211019K

  Download:

  Download

• Title:

  OSCILLATION CRITERIA OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS WITH NONCANONICAL OPERATORS

  Authors:

  G. Ayyappan, G. E. Chatzarakis, T. Gopal and E. Thandapani

  Classification:

  2020 Mathematical Subject Classification: 39A10

  Keywords:

  Keywords and phrases: noncanonical operators, Nonlinear difference equation, third-order, neutral, oscillation

  Doi:

  DOI: https://doi.org/10.2298/AADM200913011A

  Download:

  Download

• Title:

  NEW CLASSES OF RECURRENCE RELATIONS INVOLVING HYPERBOLIC FUNCTIONS, SPECIAL NUMBERS AND POLYNOMIALS

  Authors:

  Yilmaz Simsek

  Classification:

  2020 Mathematical Subject Classification: 65Qxx, 11B83, 05Axx

  Keywords:

  Keywords and phrases: Special functions and polynomials, Finite differences methods, Bernoulli and Euler numbers, recurrence relations, generating functions

  Doi:

  DOI: https://doi.org/10.2298/AADM201020015S

  Download:

  Download

• Title:

  UPPER BOUNDS ON THE ENERGY OF GRAPHS IN TERMS OF MATCHING NUMBER

  Authors:

  Saieed Akbari, Abdullah Alazemi and Milica Anđelić

  Classification:

  2020 Mathematical Subject Classification: 05C50, 05C70

  Keywords:

  Keywords and phrases: energy, Matching number

  Doi:

  DOI: https://doi.org/10.2298/AADM201227016A

  Download:

  Download

• Title:

  A BIJECTION BETWEEN TWO SUBFAMILIES OF MOTZKIN PATHS

  Authors:

  Nancy S.S. Gu and Helmut Prodinger

  Classification:

  2020 Mathematical Subject Classification: 05A19, 05C05

  Keywords:

  Keywords and phrases: Motzkin paths, bijections, ternary trees

  Doi:

  DOI: https://doi.org/10.2298/AADM200707026G

  Download:

  Download

• Title:

  A NEW CHAIN OF INEQUALITIES INVOLVING THE TOADER-QI, LOGARITHMIC AND EXPONENTIAL MEANS

  Authors:

  Zhen-Hang Yang and Jing-Feng Tian

  Classification:

  2020 Mathematical Subject Classification: 39B62, 33B10, 26E60

  Keywords:

  Keywords and phrases: exponential mean, modified Bessel function, Toader-Qi mean, hyperbolic function, logarithmic mean

  Doi:

  DOI: https://doi.org/10.2298/AADM201227028Y

  Download:

  Download

• Title:

  A MINIMAX APPROXIMANT IN THE THEORY OF ANALYTIC INEQUALITIES

  Authors:

  Branko Malešević and Bojana Mihailović

  Classification:

  2020 Mathematical Subject Classification: 26D05, 26D15

  Keywords:

  Keywords and phrases: the best constant for an inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM210511032M

  Download:

  Download

• Title:

  THE MONOTONICITY OF DARBOUX AND 2-INJECTIVE FUNCTIONS

  Authors:

  Cristinel Mortici

  Classification:

  2020 Mathematical Subject Classification: 26A48

  Keywords:

  Keywords and phrases: 26A48, 26A15, 26A09

  Doi:

  DOI: https://doi.org/10.2298/AADM200616024M

  Download:

  Download

• Title:

  Corrigendum

  Authors:

  Editorial board

  Classification:

  2020 Mathematical Subject Classification:

  Keywords:

  Keywords and phrases:

  Doi:

  DOI: https://doi.org/10.2298/AADM2102518E

  Download:

  Download

• Title:

  A GLOBALLY CONVERGENT MODIFIED MULTIVARIATE VERSION OF THE METHOD OF MOVING ASYMPTOTES

  Authors:

  Allal Guessab and Abderrazak Driouch

  Classification:

  2020 Mathematical Subject Classification: 49M29, 49M37, 65K05

  Keywords:

  Keywords and phrases: Method of moving asymptotes, Global convergence, non linear optimization, Non-convex

  Doi:

  DOI: https://doi.org/10.2298/AADM190325033G

  Download:

  Download