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Construction of a new generalization for n-polynomial convexity with their certain inequalities

Year 2024, Early Access, 1 - 13
https://doi.org/10.15672/hujms.1310861

Abstract

In this paper, we first construct a new generalization of n-polynomial convex function. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of n polynomial convexity. Also, we see that the obtained results in the paper while comparing
with Hölder, Hölder-İşcan and power-mean, improved-power-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.

References

  • 1] P. Agarwal, M. Kadakal, İ. İşcan and Y.M. Chu, Better approaches for n-times differentiable convex functions, Mathematics, 8 (6), 950, 2020.
Year 2024, Early Access, 1 - 13
https://doi.org/10.15672/hujms.1310861

Abstract

References

  • 1] P. Agarwal, M. Kadakal, İ. İşcan and Y.M. Chu, Better approaches for n-times differentiable convex functions, Mathematics, 8 (6), 950, 2020.
There are 1 citations in total.

Details

Primary Language English
Subjects Real and Complex Functions (Incl. Several Variables)
Journal Section Mathematics
Authors

Mahir Kadakal 0000-0002-0240-918X

İmdat İşcan 0000-0001-6749-0591

Huriye Kadakal 0000-0002-0304-7192

Early Pub Date January 10, 2024
Publication Date
Published in Issue Year 2024 Early Access

Cite

APA Kadakal, M., İşcan, İ., & Kadakal, H. (2024). Construction of a new generalization for n-polynomial convexity with their certain inequalities. Hacettepe Journal of Mathematics and Statistics1-13. https://doi.org/10.15672/hujms.1310861
AMA Kadakal M, İşcan İ, Kadakal H. Construction of a new generalization for n-polynomial convexity with their certain inequalities. Hacettepe Journal of Mathematics and Statistics. Published online January 1, 2024:1-13. doi:10.15672/hujms.1310861
Chicago Kadakal, Mahir, İmdat İşcan, and Huriye Kadakal. “Construction of a New Generalization for N-Polynomial Convexity With Their Certain Inequalities”. Hacettepe Journal of Mathematics and Statistics, January (January 2024), 1-13. https://doi.org/10.15672/hujms.1310861.
EndNote Kadakal M, İşcan İ, Kadakal H (January 1, 2024) Construction of a new generalization for n-polynomial convexity with their certain inequalities. Hacettepe Journal of Mathematics and Statistics 1–13.
IEEE M. Kadakal, İ. İşcan, and H. Kadakal, “Construction of a new generalization for n-polynomial convexity with their certain inequalities”, Hacettepe Journal of Mathematics and Statistics, pp. 1–13, January 2024, doi: 10.15672/hujms.1310861.
ISNAD Kadakal, Mahir et al. “Construction of a New Generalization for N-Polynomial Convexity With Their Certain Inequalities”. Hacettepe Journal of Mathematics and Statistics. January 2024. 1-13. https://doi.org/10.15672/hujms.1310861.
JAMA Kadakal M, İşcan İ, Kadakal H. Construction of a new generalization for n-polynomial convexity with their certain inequalities. Hacettepe Journal of Mathematics and Statistics. 2024;:1–13.
MLA Kadakal, Mahir et al. “Construction of a New Generalization for N-Polynomial Convexity With Their Certain Inequalities”. Hacettepe Journal of Mathematics and Statistics, 2024, pp. 1-13, doi:10.15672/hujms.1310861.
Vancouver Kadakal M, İşcan İ, Kadakal H. Construction of a new generalization for n-polynomial convexity with their certain inequalities. Hacettepe Journal of Mathematics and Statistics. 2024:1-13.