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(M, n)-harmonically polynomial convex functions and some hadamard type inequalities on the co-ordinates

AIMS Mathematics, ISSN: 2473-6988, Vol: 6, Issue: 5, Page: 4677-4690
2021
  • 11
    Citations
  • 0
    Usage
  • 1
    Captures
  • 0
    Mentions
  • 130
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    11
    • Citation Indexes
      11
  • Captures
    1
  • Social Media
    130
    • Shares, Likes & Comments
      130
      • Facebook
        130

Article Description

In this study, we have introduced a new concept called (m, n)-harmonically polynomial convex functions on the co-ordinates. Then, we have demonstrated some properties of this definition. Based on the definition and some elementary analysis process, we have proved a new Hadamard type integral inequality on the coordinates for (m, n)-harmonically polynomial convex functions. Finally, we have established Hadamard type inequality for differentiable (m, n)-Harmonically polynomial convex functions. We have also given some special cases for bounded functions.

Bibliographic Details

Saad Ihsan Butt; Muhammad Nadeem; Ahmet Ocak Akdemir; Nabil Mlaiki; Thabet Abdeljawad; İmdatişcan

American Institute of Mathematical Sciences (AIMS)

Mathematics

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