JOURNAL ARTICLE

ON MULTIPLICATIVE (s,P)-CONVEXITY AND RELATED FRACTIONAL INEQUALITIES WITHIN MULTIPLICATIVE CALCULUS.

  • Published In: Fractals, 2024, v. 32, n. 3. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Peng, Yu; DU, TINGSONG 3 of 3

Abstract

In this paper, we propose a fresh conception about convexity, known as the multiplicative (s , P) -convexity. Along with this direction, we research the properties of such type of convexity. In the framework of multiplicative fractional Riemann–Liouville integrals and under the ∗ differentiable (s , P) -convexity, we investigate the multiplicative fractional inequalities, including the Hermite–Hadamard- and Newton-type inequalities. To further verify the validity of our primary outcomes, we give a few numerical examples. As applications, we proffer a number of inequalities of multiplicative type in special means as well. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Fractals. 2024/04, Vol. 32, Issue 3, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2024
  • ISSN:0218-348X
  • DOI:10.1142/S0218348X24500488
  • Accession Number:177091104
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