On innovations of the multivariable fractional Hardy-type inequalities on time scales

Akın L., Zeren Y.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, cilt.41, sa.2, ss.415-422, 2023 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.14744/sigma.2023.00044
  • Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.415-422
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Fractional integral-type inequalities, dynamic equations, integral operators and variable exponents have an important place in time scales theory and harmonic analysis. Our main goal in this study is to obtain the multivariable fractional Hardy-type integral inequality using a new version of Jensen’s inequality for super-quadratic and sub-quadratic functions on time scales with variable exponents.