Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications
Author(s) -
Saad Ihsan Butt,
Muhammad Tariq,
Adnan Aslam,
Hijaz Ahmad,
Taher A. Nofal
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/5533491
Subject(s) - hermite polynomials , convexity , hadamard transform , mathematics , exponential function , type (biology) , exponential type , harmonic , inequality , pure mathematics , mathematical analysis , physics , geology , economics , quantum mechanics , financial economics , paleontology
In this work, we introduce the idea and concept of –polynomial –harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties. As a result, several new integral inequalities are established. Finally, we investigate some applications for means. The amazing techniques and wonderful ideas of this work may excite and motivate for further activities and research in the different areas of science.
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