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Two-Dimensional Trapezium Inequalities via pq-Convex Functions

In: Approximation Theory and Analytic Inequalities

Author

Listed:
  • Muhammad Uzair Awan

    (Government College University)

  • Muhammad Aslam Noor

    (COMSATS University Islamabad)

  • Khalida Inayat Noor

    (COMSATS University Islamabad)

  • Themistocles M. Rassias

    (National Technical University of Athens, Department of Mathematics)

Abstract

We establish some new two-dimensional trapezium-like inequalities involving partial differentiable pq-convex functions on rectangle. The concept of pq-convex functions also includes the harmonic convex functions and convex functions as special cases. These results represent refinement and improvement of the known results. Some cases are discussed, which can be obtained as applications of the results. The ideas and techniques of this chapter may be a starting point for further research.

Suggested Citation

  • Muhammad Uzair Awan & Muhammad Aslam Noor & Khalida Inayat Noor & Themistocles M. Rassias, 2021. "Two-Dimensional Trapezium Inequalities via pq-Convex Functions," Springer Books, in: Themistocles M. Rassias (ed.), Approximation Theory and Analytic Inequalities, pages 21-34, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-60622-0_2
    DOI: 10.1007/978-3-030-60622-0_2
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