On New Estimates of q-Hermite–Hadamard Inequalities with Applications in Quantum Calculus

In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard inequality (involving left and right integrals p...

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Detalles Bibliográficos
Autores: Chasreechai, Saowaluck, Ali, Muhammad Aamir, Ashraf, Muhammad Amir, Sitthiwirattham, Thanin, Etemad, Sina, De la Sen Parte, Manuel, Rezapour, Shahram
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/59453
Acceso en línea:http://hdl.handle.net/10810/59453
Access Level:acceso abierto
Palabra clave:Hermite-Hadamard inequality
q-integral
quantum calculus
convex function
Descripción
Sumario:In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard inequality (involving left and right integrals proved by Bermudo et al.) under q-differentiable convex functions. Finally, we provide some examples to illustrate the validity of newly obtained quantum inequalities.

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