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April 12, 2026Journal of Mathematics0 citationsOpen Access

Graphical and Analytic Study of New Inequalities Involving Strongly n ‐Polynomial Exponential‐Type s ‐Convex Functions

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KKKarim KhanRHRamy M. HafezKAKashif Ali

Key Points

  • To investigate strongly n-polynomial exponential-type s-convex functions and derive fundamental results related to them.
  • Developed basic results related to strongly n-polynomial exponential-type s-convexity
  • Provided examples to demonstrate the new class of convexity
  • Utilized newly introduced convexity to refine existing inequalities
  • Established new algebraic properties of strongly s-convex functions
  • Refined Hermite-Hadamard and Ostrowski-type inequalities
  • Demonstrated the applicability of the new convexity through examples

Abstract

This paper explores a new class of convexity, namely, strongly n ‐polynomial exponential‐type s ‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity. The refinements of Hermite–Hadamard and Ostrowski‐type inequalities have also been made by utilizing the newly introduced convexity.

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Cite This Study

Khan et al. (2026) studied this question.

synapsesocial.com/papers/69db37774fe01fead37c5828https://doi.org/10.1155/jom/4577511
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