Results 11 to 20 of about 1,439 (151)

Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis

Journal of Mathematics
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable.
Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez   +3 more
doaj   +2 more sources

Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

Mathematics, 2022
In this work, we introduce new definitions of left and right-sides generalized conformable K-fractional derivatives and integrals. We also prove new identities associated with the left and right-sides of the Hermite-Hadamard-Fejér type inequality for ϕ ...
Humaira Kalsoom, Zareen A. Khan
doaj   +1 more source

Some New Versions of Integral Inequalities for Left and Right Preinvex Functions in the Interval-Valued Settings

Mathematics, 2022
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, Savin Treanțǎ, Mohamed S. Soliman, Kamsing Nonlaopon, Hatim Ghazi Zaini   +4 more
doaj   +1 more source

Some Midpoint Inequalities for η-Convex Function via Weighted Fractional Integrals

Journal of Function Spaces, 2022
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, Waqas Nazeer, Farman Ali, Thongchai Botmart, Sarah Mehfooz   +4 more
doaj   +1 more source

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

International Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana, Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Yu-Ming Chu   +4 more
doaj   +1 more source

Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions

Journal of Applied Mathematics, 2014
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
doaj   +1 more source

New Variant of Hermite–Hadamard, Fejér and Pachpatte-Type Inequality and Its Refinements Pertaining to Fractional Integral Operator

Fractal and Fractional, 2023
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, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Fast and accurate con-eigenvalue algorithm for optimal rational approximations [PDF]

, 2012
The need to compute small con-eigenvalues and the associated con-eigenvectors of positive-definite Cauchy matrices naturally arises when constructing rational approximations with a (near) optimally small $L^{\infty}$ error. Specifically, given a rational
Beylkin, G., Haut, T. S.
core   +1 more source

Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

Mathematics, 2023
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, Aleksandr Rakhmangulov, Najla Aloraini, Muhammad Aslam Noor, Mohamed S. Soliman   +4 more
doaj   +1 more source

Stečkin inequalities for summability methods

International Journal of Mathematics and Mathematical Sciences, 1997
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
doaj   +1 more source