Extensions of summability factors from single to double series

Key Points

• The aim is to extend Riesz summability factors from single series to double series while obtaining well-known results as special cases.
• Analysis of existing classes of absolute Riesz summability factors for single series.
• Extension of these factors to apply to double summability.
• Identification of special cases demonstrating previously known results.
• Demonstrated a successful extension of absolute Riesz summability factors to double series.
• Identified connections to previously known results from single series contexts.