Vol. 76 No. 2 (2024)

Research articles

• Some new estimates of integral inequalities and their applications

  B. Bayraktar, S. I. Butt, J. E. Nápoles, F. Rabossi

  159-178

  • URL

• Exact solutions with generalized separation of variables for the nonlinear heat equation with a source

  A. Barannyk, T. Barannyk, I. Yuryk

  179-197

  • pdf (Ukrainian)

• Approximation in the mean of the classes of functions in the space $L_2[(0,1);x]$ by the Fourier–Bessel sums and estimates of the values of their $n$-widths

  S. Vakarchuk, M. Vakarchuk

  198-223

  • pdf (Ukrainian)

• Primes of the form $[{n}^c]$ with square-free $n$

  S. I. Dimitrov

  224-233

  • URL

• Turán-type inequalities for generalized k-Bessel functions

  Hanaa M. Zayed

  234-256

  • URL

• Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions

  V. Kapustyan, I. Pyshnograiev

  257-275

  • pdf (Ukrainian)

• The $n$-Generalized Schützenberger-crossed product of monoids

  Esra Kırmızı Çetinalp

  276-288

  • URL

• On multiplicative (generalized)-$(\alpha,\beta)$-derivations in prime rings

  Chirag Garg, R. K. Sharma

  289-297

  • URL

• Parametric 2-decompositions in complete linear groups of small order over the field

  V. Shchedryk

  298-312

  • pdf (Ukrainian)