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Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali +3 more
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Almost everywhere convergence of Fej\'er means of two-dimensional triangular Walsh-Fourier series [PDF]
In 1987 Harris proved (Proc. Amer. Math.
Gát, György
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Fourier theory and C*-algebras [PDF]
We discuss a number of results concerning the Fourier series of elements in reduced twisted group C∗-algebras of discrete groups, and, more generally, in reduced crossed products associated to twisted actions of discrete groups on unital C∗-algebras. A
Conti, Roberto, Erik, Bédos
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Some Midpoint Inequalities for η-Convex Function via Weighted Fractional Integrals
In this research, by using a weighted fractional integral, we establish a midpoint version of Hermite-Hadamrad Fejér type inequality for η-convex function on a specific interval.
Lei Chen +4 more
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The principles of convexity and symmetry are inextricably linked. Because of the considerable association that has emerged between the two in recent years, we may apply what we learn from one to the other.
Muhammad Bilal Khan +4 more
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It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
We establish a Fejér type inequality for harmonically convex functions. Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically ...
Feixiang Chen, Shanhe Wu
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In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional operators are used to simulate a broad range of scientific as well as engineering phenomena such as elasticity, viscous fluid,
Muhammad Tariq +2 more
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We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan +4 more
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Stečkin inequalities for summability methods
Stečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem. We generalize Stečkin's inequality and give various applications to summability methods.
Jia-Ding Cao
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