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Peer-reviewedCC BY 4.0PLOS One

Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications

  • Iqra Iqra1
  • Ammara Nosheen2
  • Khuram Ali Khan
  • Saima Riaz
  • Michael Kikomba Kahungu
  1. 1Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  2. 2Higher Institute of Education of Gombe (ISP Gombe), Kinshasa, D. R. Congo
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Abstract

In this paper, an identity involving Riemann-Liouville fractional integrals is established which serves as the basis for several new Newton-type inequalities involving the modified class of hyperbolic p-convex property of differentiable functions. Some new inequalities are also derived for functions of bounded variation. Examples along with graphs are provided to demonstrate the validity of the newly established inequalities, and the comparison with earlier results highlights their enhanced applicability and significance.

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Cite

BibTeXRIS
BibTeX
@article{iqra2026newtontype,
  title = {{Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications}},
  author = {Iqra Iqra and Ammara Nosheen and Khuram Ali Khan and Saima Riaz and Michael Kikomba Kahungu},
  journal = {PLOS One},
  year = {2026},
  month = oct,
  doi = {10.1371/journal.pone.0356882},
  url = {https://doi.org/10.1371/journal.pone.0356882},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications
AU  - Iqra Iqra
AU  - Ammara Nosheen
AU  - Khuram Ali Khan
AU  - Saima Riaz
AU  - Michael Kikomba Kahungu
PY  - 2026
DA  - 2026/10/01
JO  - PLOS One
DO  - 10.1371/journal.pone.0356882
UR  - https://doi.org/10.1371/journal.pone.0356882
AB  - In this paper, an identity involving Riemann-Liouville fractional integrals is established which serves as the basis for several new Newton-type inequalities involving the modified class of hyperbolic p-convex property of differentiable functions. Some new inequalities are also derived for functions of bounded variation. Examples along with graphs are provided to demonstrate the validity of the newly established inequalities, and the comparison with earlier results highlights their enhanced applicability and significance.
SN  - 1932-6203
ER  -