By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy–Hilbert’s inequality with two partial sums and multi-parameters. We also give a few equivalent conditions of the best possible constant factor related to several parameters in the new inequality. Some particular inequalities are deduced.

More from our Archive

• DOI: 10.3390/axioms12070659 2023

  Study of Thermoelectric Responses of a Conductive Semi-Solid Surface to Variable Thermal Shock in the Context of the Moore–Gibson–Thompson Thermoelasticity

  Sami F. Megahid, Ahmed E. Abouelregal, Sameh S. Askar, Marin Marin

• DOI: 10.3390/axioms12070697 2023

  A Novel Weld-Seam Defect Detection Algorithm Based on the S-YOLO Model

  Yi Zhang, Qingjian Ni

• DOI: 10.3390/axioms12070675 2023

  A Unified Approach for Extremal General Exponential Multiplicative Zagreb Indices

  Rashad Ismail, Muhammad Azeem, Yilun Shang, Muhammad Imran, Ali Ahmad

• DOI: 10.3390/axioms12070658 2023

  New Conditions for Testing the Asymptotic Behavior of Solutions of Odd-Order Neutral Differential Equations with Multiple Delays

  Fahd Masood, Osama Moaaz, Sameh S. Askar, Ahmad Alshamrani

• DOI: 10.3390/axioms12070691 2023

  Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

  Asfand Fahad, Saad Ihsaan Butt, Bahtiyar Bayraktar, Mehran Anwar, Yuanheng Wang

• DOI: 10.3390/axioms12070694 2023

  Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method

  Haneen Khresat, Ahmad El-Ajou, Shrideh Al-Omari, Sharifah E. Alhazmi, Moa’ath N. Oqielat

• DOI: 10.3390/axioms12070680 2023

  On Estimation of Reliability Functions for the Extended Rayleigh Distribution under Progressive First-Failure Censoring Model

  Mahmoud Hamed Abu-Moussa, Najwan Alsadat, Ali Sharawy

• DOI: 10.3390/axioms12070667 2023

  Infinitesimal Affine Transformations and Mutual Curvatures on Statistical Manifolds and Their Tangent Bundles

  Esmaeil Peyghan, Davood Seifipour, Ion Mihai

• DOI: 10.3390/axioms12070665 2023

  Determinantal Expressions, Identities, Concavity, Maclaurin Power Series Expansions for van der Pol Numbers, Bernoulli Numbers, and Cotangent

  Zhen-Ying Sun, Bai-Ni Guo, Feng Qi

• DOI: 10.1142/s0218348x23500597 2023

  LOCAL GEOMETRY OF SELF-SIMILAR SETS: TYPICAL BALLS, TANGENT MEASURES AND ASYMPTOTIC SPECTRA

  MANUEL MORÁN, MARTA LLORENTE, MARíA EUGENIA MERA