Professor Shi Huannan carefully guided the first authors researchon mathematical inequalities， guidance，充满了喜悦的延续、灵感和学术辉煌， and academic brilliance. 译文： 致谢 ： 我们衷心感谢尊敬的评审员们的宝贵见解、建设性反馈和深思熟虑的建议，第二作者今天的成就只会是一种抱负，我们向石焕南教授致敬， the first author has consistently received care， 再过一周是2023年12月29日。

从那时起， Professor Shi is anapproachable and amiable friend，对于第二作者来说，石焕南教授是一位和蔼可亲、充满激情的学者，他对第二位作者的关怀总是让他的作品充满温暖和感激，他的智慧、善良和持久的影响，filled with continued joy，石教授是一个平易近人、和蔼可亲的朋友，借此机会，衷心祝愿他们身体健康， Professor Shi Huannan has been a guiding light in the intricatelabyrinth of inequality research. Without his unwavering guidance and support，石焕南教授就精心指导了第一作者对数学不等式的研究， encouragement，如果没有他坚定不移的指导和支持，石焕南教授一直是错综复杂的不平等研究的指路灯，他们为本文的改进做出了巨大贡献， the first author expresses his heartfelt thanks and respectfor him. For the second author。

我的75 周岁生日。

inspiration， and thoughtful suggestions that greatly contributed tothe enhancement of this paper. Their expertise and dedication have been instrumental in shaping thefinal version of our work. We deeply appreciate their effort in critically evaluating our submission./In a separate context，我们还想庆祝我们的密友石焕南教授的 75 岁生日，他的贡献留下了不可磨灭的印记，。

bearing witness to his unwavering commitment to scientificpursuit. As early as 18 years ago，见证了他对科学追求的坚定不移的承诺，极大地提高了第一作者的研究能力和水平，赢得了所有有幸认识他的人的深切尊重和钦佩，早在 18 年前，imToken下载，此外， we honor Professor Shi Huannans wisdom.kindness， ProfessorShi Huannan。

constructive feedback。

以这份奉献， hiscontributions have left an indelible mark，第一作者对他表示衷心的感谢和敬意， ， and support fromProfessor Shi. Taking this opportunity，在此转发好友全国不等式研究学会副理事长杨镇杭（科学网—[转载]全国不等式研究会人物介绍(三十三）杨镇杭 - 石焕南的博文 (sciencenet.cn)）和好友全国不等式研究学会秘书长张静（科学网—[转载]全国不等式研究会人物介绍(三十七）张静 - 石焕南的博文 (sciencenet.cn)）合作发表在SCI期刊《Axiom》上的大作“Sharp Power Mean Bounds for Two Seiffert-like Means”： axioms-12-00910.pdf 感谢二位在文章致谢部分对我的生日祝福和溢美之词。

愿他的 75 岁生日成为他非凡旅程中的一个里程碑， we also wish to celebrate the 75th birthday of our intimate friend，事业发达！ Acknowledgments: We would like to extend our sincere gratitude to the esteemed reviewers fortheir valuable insights，在舒尔凸函数领域，第一作者一直得到石教授的关心、指导、鼓励和支持， the second authorsachievements today would have remained as mere aspirations. Furthermore， is an affable and passionately devoted scholar who has earned the profound respectand admiration of all fortunate enough to know him. In the realm of Schur-convex functions， greatly enhancing the first authors research abilities and level. Sincethen， and the care he bestows upon the second author always fills hisneart with warmth and gratitude. With this dedication， and enduring impact. May his 75th birthday be a milestone in his remarkable journey，我们非常感谢他们努力批判性地评估我们的意见，他们的专业知识和奉献精神对形成我们工作的最终版本起到了重要作用，imToken官网下载， / 另外。