@Article{JNMA-7-1142, author = {Chaudhry , Faryal and Sahir , Muhammad Jibril Shahab}, title = {Entanglement of Several Classical and Dynamic Estimates with Unified Approach on Time Scales}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {4}, pages = {1142--1152}, abstract = {

In this research article, we present several generalizations of Qi’s inequality on time scales. We establish dynamic versions of Callebaut’s inequality and Cauchy-Schwarz’s inequality on time scales. To establish our results, we apply the diamond-alpha integral and the time scale $∆$ or $∇$-Riemann-Liouville type fractional integrals. Our findings unify and extend discrete, continuous and quantum analogues.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1142}, url = {http://global-sci.org/intro/article_detail/jnma/24229.html} }