Some novel estimates of Hermite-Hadamard type inequality for post-quantum integrals involving coordinated convex functions and application

Volume 40, Issue 1, pp 101--123 https://dx.doi.org/10.22436/jmcs.040.01.07
Publication Date: May 30, 2025 Submission Date: March 02, 2025 Revision Date: March 11, 2025 Accteptance Date: April 02, 2025

Authors

T. Nawaz - Department of Mathematical Sciences, UET, 47080, Taxila, Pakistan. M. Vivas-Cortez - FRACTAL (Fractional Research Analysis Convexity and Their Applications Laboratory), Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Ecuador. A. Kashuri - Department of Mathematical Engineering, Polytechnic University of Tirana, 1001 Tirana, Albania. M. Raees - Govt. Graduate College Satellite town, 44000, Rawalpindi, Pakistan. A. Shahzad - Department of Mathematical Sciences, UET, 47080, Taxila, Pakistan.


Abstract

This study reveals the error analysis of Hermite-Hadamard inequality for coordinated convexity related to post-quantum integrals. At first, we establish a multi-parameter identity pertaining coordinated convexity via post-quantum integrals followed by new integrals to construct our main results. By utilizing this generic identity, we analyze the error estimates of classical Hermite-Hadamard inequality in the post-quantum context. Application of power mean inequality enables the refinement of bounds involved and extends it further. We make use of graphical representation with the help of concrete examples to verify the validity of presented results. In the end, to focus on usability and significance of the results, two applications through polynomial functions are produced.


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ISRP Style

T. Nawaz, M. Vivas-Cortez, A. Kashuri, M. Raees, A. Shahzad, Some novel estimates of Hermite-Hadamard type inequality for post-quantum integrals involving coordinated convex functions and application, Journal of Mathematics and Computer Science, 40 (2026), no. 1, 101--123

AMA Style

Nawaz T., Vivas-Cortez M., Kashuri A., Raees M., Shahzad A., Some novel estimates of Hermite-Hadamard type inequality for post-quantum integrals involving coordinated convex functions and application. J Math Comput SCI-JM. (2026); 40(1):101--123

Chicago/Turabian Style

Nawaz, T., Vivas-Cortez, M., Kashuri, A., Raees, M., Shahzad, A.. "Some novel estimates of Hermite-Hadamard type inequality for post-quantum integrals involving coordinated convex functions and application." Journal of Mathematics and Computer Science, 40, no. 1 (2026): 101--123


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